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231008976 = 243311173281
BaseRepresentation
bin11011100010011…
…10101011010000
3121002200110202000
431301032223100
5433114241401
634531154000
75503354362
oct1561165320
9532613660
10231008976
11109442510
1265445900
1338b23603
1422974d32
1515432186
hexdc4ead0

231008976 has 160 divisors (see below), whose sum is σ = 730131840. Its totient is φ = 69350400.

The previous prime is 231008969. The next prime is 231009043. The reversal of 231008976 is 679800132.

231008976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 231008976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 821956 + ... + 822236.

It is an arithmetic number, because the mean of its divisors is an integer number (4563324).

Almost surely, 2231008976 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 231008976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365065920).

231008976 is an abundant number, since it is smaller than the sum of its proper divisors (499122864).

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

231008976 is a wasteful number, since it uses less digits than its factorization.

231008976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 231008976 is about 15198.9794394229. The cubic root of 231008976 is about 613.5871911754.

The spelling of 231008976 in words is "two hundred thirty-one million, eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 173 176 198 216 264 281 297 346 396 432 519 528 562 594 692 792 843 1038 1124 1188 1384 1557 1584 1686 1903 2076 2248 2376 2529 2768 3091 3114 3372 3806 4152 4496 4671 4752 5058 5709 6182 6228 6744 7587 7612 8304 9273 9342 10116 11418 12364 12456 13488 15174 15224 17127 18546 18684 20232 22836 24728 24912 27819 30348 30448 34254 37092 37368 40464 45672 48613 49456 51381 55638 60696 68508 74184 74736 83457 91344 97226 102762 111276 121392 137016 145839 148368 166914 194452 205524 222552 274032 291678 333828 388904 411048 437517 445104 534743 583356 667656 777808 822096 875034 1069486 1166712 1312551 1335312 1604229 1750068 2138972 2333424 2625102 3208458 3500136 4277944 4812687 5250204 6416916 7000272 8555888 9625374 10500408 12833832 14438061 19250748 21000816 25667664 28876122 38501496 57752244 77002992 115504488 231008976