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204218212 = 221117416659
BaseRepresentation
bin11000010110000…
…01111101100100
3112020021100201111
430023001331210
5404234440322
632133034404
75026553242
oct1413017544
9466240644
10204218212
11a5304190
1258485a04
13334032a3
141d19d792
1512dde177
hexc2c1f64

204218212 has 48 divisors (see below), whose sum is σ = 422936640. Its totient is φ = 85222400.

The previous prime is 204218197. The next prime is 204218237. The reversal of 204218212 is 212812402.

It is a super-2 number, since 2×2042182122 = 83410156224953888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27339 + ... + 33997.

It is an arithmetic number, because the mean of its divisors is an integer number (8811180).

Almost surely, 2204218212 is an apocalyptic number.

204218212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

204218212 is an abundant number, since it is smaller than the sum of its proper divisors (218718428).

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

204218212 is a wasteful number, since it uses less digits than its factorization.

204218212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6732 (or 6730 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 204218212 is about 14290.4937633379. The cubic root of 204218212 is about 588.8863527810.

The spelling of 204218212 in words is "two hundred four million, two hundred eighteen thousand, two hundred twelve".

Divisors: 1 2 4 11 17 22 34 41 44 68 82 164 187 374 451 697 748 902 1394 1804 2788 6659 7667 13318 15334 26636 30668 73249 113203 146498 226406 273019 292996 452812 546038 1092076 1245233 2490466 3003209 4641323 4980932 6006418 9282646 12012836 18565292 51054553 102109106 204218212