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218531940676 = 2272333912
BaseRepresentation
bin1100101110000110000…
…1001100100101000100
3202220001212101210221121
43023201201030211010
512040023134100201
6244220413523324
721534265563400
oct3134141144504
9686055353847
10218531940676
1184751646555
1236429aa3544
13177b8808c4a
14a81141a100
155a403a49a1
hex32e184c944

218531940676 has 27 divisors (see below), whose sum is σ = 444881916927. Its totient is φ = 93653741160.

The previous prime is 218531940589. The next prime is 218531940677. The reversal of 218531940676 is 676049135812.

The square root of 218531940676 is 467474.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (218531940677) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6527941 + ... + 6561331.

It is a 1-persistent number, because it is pandigital, but 2⋅218531940676 = 437063881352 is not.

Almost surely, 2218531940676 is an apocalyptic number.

218531940676 is the 467474-th square number.

It is an amenable number.

218531940676 is an abundant number, since it is smaller than the sum of its proper divisors (226349976251).

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

218531940676 is an frugal number, since it uses more digits than its factorization.

218531940676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66800 (or 33400 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 218531940676 in words is "two hundred eighteen billion, five hundred thirty-one million, nine hundred forty thousand, six hundred seventy-six".

Divisors: 1 2 4 7 14 28 49 98 196 33391 66782 133564 233737 467474 934948 1636159 3272318 6544636 1114958881 2229917762 4459835524 7804712167 15609424334 31218848668 54632985169 109265970338 218531940676