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231019008 = 293113113
BaseRepresentation
bin11011100010100…
…01001000000000
3121002200222111120
431301101020000
5433120102013
634531312240
75503425543
oct1561211000
9532628446
10231019008
1110944a000
126544b680
1338b2804c
142297885a
1515435123
hexdc51200

231019008 has 160 divisors (see below), whose sum is σ = 682938432. Its totient is φ = 69386240.

The previous prime is 231019003. The next prime is 231019039. The reversal of 231019008 is 800910132.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (231019003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2044360 + ... + 2044472.

Almost surely, 2231019008 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 231019008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341469216).

231019008 is an abundant number, since it is smaller than the sum of its proper divisors (451919424).

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

231019008 is an equidigital number, since it uses as much as digits as its factorization.

231019008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 231019008 is about 15199.3094579984. The cubic root of 231019008 is about 613.5960731067.

The spelling of 231019008 in words is "two hundred thirty-one million, nineteen thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 113 121 128 132 176 192 226 242 256 264 339 352 363 384 452 484 512 528 678 704 726 768 904 968 1056 1243 1331 1356 1408 1452 1536 1808 1936 2112 2486 2662 2712 2816 2904 3616 3729 3872 3993 4224 4972 5324 5424 5632 5808 7232 7458 7744 7986 8448 9944 10648 10848 11616 13673 14464 14916 15488 15972 16896 19888 21296 21696 23232 27346 28928 29832 30976 31944 39776 41019 42592 43392 46464 54692 57856 59664 61952 63888 79552 82038 85184 86784 92928 109384 119328 127776 150403 159104 164076 170368 173568 185856 218768 238656 255552 300806 318208 328152 340736 437536 451209 477312 511104 601612 636416 656304 681472 875072 902418 954624 1022208 1203224 1312608 1750144 1804836 1909248 2044416 2406448 2625216 3500288 3609672 4812896 5250432 7000576 7219344 9625792 10500864 14438688 19251584 21001728 28877376 38503168 57754752 77006336 115509504 231019008