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231722534912 = 2111129672
BaseRepresentation
bin1101011111001110111…
…1010100100000000000
3211011010010211102112212
43113303233110200000
512244031432104122
6254241334041252
722512205022351
oct3276357244000
9734103742485
10231722534912
118a30036a200
1238aab4a9228
1318b0b5209ab
14b3031d9d28
156063403ce2
hex35f3bd4800

231722534912 has 108 divisors (see below), whose sum is σ = 509809404195. Its totient is φ = 105219502080.

The previous prime is 231722534893. The next prime is 231722534957. The reversal of 231722534912 is 219435227132.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 115861267456 + 115861267456 = 340384^2 + 340384^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=340384.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 231722534912.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 239629853 + ... + 239630819.

Almost surely, 2231722534912 is an apocalyptic number.

231722534912 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231722534912

231722534912 is an abundant number, since it is smaller than the sum of its proper divisors (278086869283).

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

231722534912 is an frugal number, since it uses more digits than its factorization.

231722534912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978 (or 980 counting only the distinct ones).

The product of its digits is 181440, while the sum is 41.

The spelling of 231722534912 in words is "two hundred thirty-one billion, seven hundred twenty-two million, five hundred thirty-four thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 967 968 1024 1408 1934 1936 2048 2816 3868 3872 5632 7736 7744 10637 11264 15472 15488 21274 22528 30944 30976 42548 61888 61952 85096 117007 123776 123904 170192 234014 247552 247808 340384 468028 495104 680768 935089 936056 990208 1361536 1870178 1872112 1980416 2723072 3740356 3744224 5446144 7480712 7488448 10285979 10892288 14961424 14976896 20571958 21784576 29922848 29953792 41143916 59845696 59907584 82287832 113145769 119691392 119815168 164575664 226291538 239382784 239630336 329151328 452583076 478765568 658302656 905166152 957531136 1316605312 1810332304 1915062272 2633210624 3620664608 5266421248 7241329216 10532842496 14482658432 21065684992 28965316864 57930633728 115861267456 231722534912