Search a number
-
+
22933474560 = 283251990753
BaseRepresentation
bin10101010110111100…
…010000110100000000
32012012021101012211200
4111112330100310000
5333431432141220
614311355541200
71441212213603
oct252674206400
965167335750
1022933474560
1197a9391967
12454045a800
132216368cb9
141177b3233a
158e356d890
hex556f10d00

22933474560 has 108 divisors (see below), whose sum is σ = 79347472932. Its totient is φ = 6115590144.

The previous prime is 22933474559. The next prime is 22933474607. The reversal of 22933474560 is 6547433922.

It can be written as a sum of positive squares in 2 ways, for example, as 9373337856 + 13560136704 = 96816^2 + 116448^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 983857 + ... + 1006896.

Almost surely, 222933474560 is an apocalyptic number.

22933474560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22933474560 is an abundant number, since it is smaller than the sum of its proper divisors (56413998372).

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

22933474560 is a wasteful number, since it uses less digits than its factorization.

22933474560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990780 (or 1990763 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 22933474560 in words is "twenty-two billion, nine hundred thirty-three million, four hundred seventy-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 1990753 3981506 5972259 7963012 9953765 11944518 15926024 17916777 19907530 23889036 29861295 31852048 35833554 39815060 47778072 59722590 63704096 71667108 79630120 89583885 95556144 119445180 127408192 143334216 159260240 179167770 191112288 238890360 254816384 286668432 318520480 358335540 382224576 477780720 509632768 573336864 637040960 716671080 764449152 955561440 1146673728 1274081920 1433342160 1528898304 1911122880 2293347456 2548163840 2866684320 3822245760 4586694912 5733368640 7644491520 11466737280 22933474560