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220540615056 = 2433586187103
BaseRepresentation
bin1100110101100100111…
…1101011100110010000
3210002020212002001012000
43031121033223212100
512103131344140211
6245152010434000
721635126204046
oct3153117534620
9702225061160
10220540615056
1185592478323
12368aa732900
1317a489cc678
14a9620d2396
155b0b8cc656
hex33593eb990

220540615056 has 80 divisors (see below), whose sum is σ = 633148523520. Its totient is φ = 73500151680.

The previous prime is 220540615027. The next prime is 220540615063. The reversal of 220540615056 is 650516045022.

220540615056 is a `hidden beast` number, since 2 + 2 + 0 + 540 + 61 + 5 + 0 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 220540615056.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2488401 + ... + 2575503.

It is an arithmetic number, because the mean of its divisors is an integer number (7914356544).

Almost surely, 2220540615056 is an apocalyptic number.

It is an amenable number.

220540615056 is an abundant number, since it is smaller than the sum of its proper divisors (412607908464).

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

220540615056 is a wasteful number, since it uses less digits than its factorization.

220540615056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92981 (or 92969 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 220540615056 in words is "two hundred twenty billion, five hundred forty million, six hundred fifteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 5861 11722 17583 23444 35166 46888 52749 70332 87103 93776 105498 140664 158247 174206 210996 261309 281328 316494 348412 421992 522618 632988 696824 783927 843984 1045236 1265976 1393648 1567854 2090472 2351781 2531952 3135708 4180944 4703562 6271416 9407124 12542832 18814248 37628496 510510683 1021021366 1531532049 2042042732 3063064098 4084085464 4594596147 6126128196 8168170928 9189192294 12252256392 13783788441 18378384588 24504512784 27567576882 36756769176 55135153764 73513538352 110270307528 220540615056