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216572868 = 2232191312417
BaseRepresentation
bin11001110100010…
…10001111000100
3120002112001010100
430322022033010
5420420312433
633253524100
75236560531
oct1472121704
9502461110
10216572868
11101282446
1260643630
1335b3a835
1420a97d88
151402eb13
hexce8a3c4

216572868 has 72 divisors (see below), whose sum is σ = 580900320. Its totient is φ = 67841280.

The previous prime is 216572861. The next prime is 216572869. The reversal of 216572868 is 868275612.

216572868 is a `hidden beast` number, since 2 + 16 + 572 + 8 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (216572861) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 88396 + ... + 90812.

It is an arithmetic number, because the mean of its divisors is an integer number (8068060).

Almost surely, 2216572868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216572868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290450160).

216572868 is an abundant number, since it is smaller than the sum of its proper divisors (364327452).

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

216572868 is a wasteful number, since it uses less digits than its factorization.

216572868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2572 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 216572868 is about 14716.4149166840. The cubic root of 216572868 is about 600.5299650905.

The spelling of 216572868 in words is "two hundred sixteen million, five hundred seventy-two thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 131 171 228 262 342 393 524 684 786 1179 1572 2358 2417 2489 4716 4834 4978 7251 7467 9668 9956 14502 14934 21753 22401 29004 29868 43506 44802 45923 87012 89604 91846 137769 183692 275538 316627 413307 551076 633254 826614 949881 1266508 1653228 1899762 2849643 3799524 5699286 6015913 11398572 12031826 18047739 24063652 36095478 54143217 72190956 108286434 216572868