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211222220 = 225113130971
BaseRepresentation
bin11001001011011…
…11111011001100
3112201110012102012
430211233323030
5413033102340
632543120352
75143234136
oct1445577314
9481405365
10211222220
11a9258420
125a8a30b8
13349b6281
14200a4056
1513824565
hexc96fecc

211222220 has 48 divisors (see below), whose sum is σ = 499516416. Its totient is φ = 74328000.

The previous prime is 211222217. The next prime is 211222223. The reversal of 211222220 is 22222112.

It is an interprime number because it is at equal distance from previous prime (211222217) and next prime (211222223).

It is a super-2 number, since 2×2112222202 = 89229652443456800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211222195 and 211222204.

It is not an unprimeable number, because it can be changed into a prime (211222223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8666 + ... + 22305.

It is an arithmetic number, because the mean of its divisors is an integer number (10406592).

Almost surely, 2211222220 is an apocalyptic number.

211222220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211222220 is an abundant number, since it is smaller than the sum of its proper divisors (288294196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211222220 is a wasteful number, since it uses less digits than its factorization.

211222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31022 (or 31020 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 211222220 is about 14533.4861612760. The cubic root of 211222220 is about 595.5431050826.

Adding to 211222220 its reverse (22222112), we get a palindrome (233444332).

The spelling of 211222220 in words is "two hundred eleven million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 3410 6820 30971 61942 123884 154855 309710 340681 619420 681362 960101 1362724 1703405 1920202 3406810 3840404 4800505 6813620 9601010 10561111 19202020 21122222 42244444 52805555 105611110 211222220