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2231956656 = 2432171078521
BaseRepresentation
bin1000010100001000…
…1111010010110000
312202112211010221100
42011002033102300
514032340103111
61005250324400
7106211214156
oct20502172260
95675733840
102231956656
11a45977086
12523589700
13297540117
141725d93d6
15d0e30756
hex8508f4b0

2231956656 has 120 divisors (see below), whose sum is σ = 6676407504. Its totient is φ = 693596160.

The previous prime is 2231956627. The next prime is 2231956663. The reversal of 2231956656 is 6566591322.

2231956656 is a `hidden beast` number, since 2 + 2 + 31 + 9 + 566 + 56 = 666.

It is a super-3 number, since 3×22319566563 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257676 + ... + 266196.

Almost surely, 22231956656 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 2231956656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338203752).

2231956656 is an abundant number, since it is smaller than the sum of its proper divisors (4444450848).

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

2231956656 is a wasteful number, since it uses less digits than its factorization.

2231956656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8659 (or 8650 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 2231956656 is about 47243.5885173851. The cubic root of 2231956656 is about 1306.8585558580.

The spelling of 2231956656 in words is "two billion, two hundred thirty-one million, nine hundred fifty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 107 136 144 153 204 214 272 306 321 408 428 612 642 816 856 963 1224 1284 1712 1819 1926 2448 2568 3638 3852 5136 5457 7276 7704 8521 10914 14552 15408 16371 17042 21828 25563 29104 32742 34084 43656 51126 65484 68168 76689 87312 102252 130968 136336 144857 153378 204504 261936 289714 306756 409008 434571 579428 613512 869142 911747 1158856 1227024 1303713 1738284 1823494 2317712 2607426 2735241 3476568 3646988 5214852 5470482 6953136 7293976 8205723 10429704 10940964 14587952 15499699 16411446 20859408 21881928 30999398 32822892 43763856 46499097 61998796 65645784 92998194 123997592 131291568 139497291 185996388 247995184 278994582 371992776 557989164 743985552 1115978328 2231956656