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23199923628 = 223271912738153
BaseRepresentation
bin10101100110110100…
…101011110110101100
32012212211202020020200
4111212310223312230
5340003140024003
614354034513500
71450626045210
oct254664536654
965784666220
1023199923628
119925830002
1245b5735890
13225961a77b
1411a1290940
1590bb516a3
hex566d2bdac

23199923628 has 144 divisors (see below), whose sum is σ = 71106846720. Its totient is φ = 6230068992.

The previous prime is 23199923627. The next prime is 23199923653. The reversal of 23199923628 is 82632999132.

23199923628 is a `hidden beast` number, since 2 + 3 + 1 + 9 + 9 + 9 + 2 + 3 + 628 = 666.

It is not an unprimeable number, because it can be changed into a prime (23199923627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 589000 + ... + 627152.

Almost surely, 223199923628 is an apocalyptic number.

23199923628 is a gapful number since it is divisible by the number (28) 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 23199923628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35553423360).

23199923628 is an abundant number, since it is smaller than the sum of its proper divisors (47906923092).

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

23199923628 is a wasteful number, since it uses less digits than its factorization.

23199923628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38316 (or 38311 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The spelling of 23199923628 in words is "twenty-three billion, one hundred ninety-nine million, nine hundred twenty-three thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 127 133 171 228 252 254 266 342 381 399 508 532 684 762 798 889 1143 1197 1524 1596 1778 2286 2394 2413 2667 3556 4572 4788 4826 5334 7239 8001 9652 10668 14478 16002 16891 21717 28956 32004 33782 38153 43434 50673 67564 76306 86868 101346 114459 152019 152612 202692 228918 267071 304038 343377 457836 534142 608076 686754 724907 801213 1068284 1373508 1449814 1602426 2174721 2403639 2899628 3204852 4349442 4807278 4845431 5074349 6524163 8698884 9614556 9690862 10148698 13048326 14536293 15223047 19381724 20297396 26096652 29072586 30446094 33918017 43608879 45669141 58145172 60892188 67836034 87217758 91338282 92063189 101754051 135672068 174435516 182676564 184126378 203508102 276189567 305262153 368252756 407016204 552379134 610524306 644442323 828568701 1104758268 1221048612 1288884646 1657137402 1933326969 2577769292 3314274804 3866653938 5799980907 7733307876 11599961814 23199923628