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231078672 = 2432111131291
BaseRepresentation
bin11011100010111…
…11101100010000
3121002211000100100
431301133230100
5433124004142
634532452400
75504064516
oct1561375420
9532730310
10231078672
1110948a910
126547a100
1338b49256
14229924b6
1515447b4c
hexdc5fb10

231078672 has 120 divisors (see below), whose sum is σ = 712284768. Its totient is φ = 69350400.

The previous prime is 231078667. The next prime is 231078697. The reversal of 231078672 is 276870132.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178347 + ... + 179637.

Almost surely, 2231078672 is an apocalyptic number.

231078672 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 231078672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356142384).

231078672 is an abundant number, since it is smaller than the sum of its proper divisors (481206096).

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

231078672 is a wasteful number, since it uses less digits than its factorization.

231078672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 231078672 is about 15201.2720520356. The cubic root of 231078672 is about 613.6488919133.

The spelling of 231078672 in words is "two hundred thirty-one million, seventy-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 113 132 144 176 198 226 264 339 396 452 528 678 792 904 1017 1243 1291 1356 1584 1808 2034 2486 2582 2712 3729 3873 4068 4972 5164 5424 7458 7746 8136 9944 10328 11187 11619 14201 14916 15492 16272 19888 20656 22374 23238 28402 29832 30984 42603 44748 46476 56804 59664 61968 85206 89496 92952 113608 127809 145883 170412 178992 185904 227216 255618 291766 340824 437649 511236 583532 681648 875298 1022472 1167064 1312947 1604713 1750596 2044944 2334128 2625894 3209426 3501192 4814139 5251788 6418852 7002384 9628278 10503576 12837704 14442417 19256556 21007152 25675408 28884834 38513112 57769668 77026224 115539336 231078672