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231082080 = 25354710243
BaseRepresentation
bin11011100011000…
…00100001100000
3121002211012000120
431301200201200
5433124111310
634532520240
75504110455
oct1561404140
9532735016
10231082080
11109492429
1265480080
1338b4a978
142299382c
1515448b70
hexdc60860

231082080 has 96 divisors (see below), whose sum is σ = 743468544. Its totient is φ = 60304896.

The previous prime is 231082073. The next prime is 231082097. The reversal of 231082080 is 80280132.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 231082080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17439 + ... + 27681.

It is an arithmetic number, because the mean of its divisors is an integer number (7744464).

Almost surely, 2231082080 is an apocalyptic number.

231082080 is a gapful number since it is divisible by the number (20) 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 231082080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371734272).

231082080 is an abundant number, since it is smaller than the sum of its proper divisors (512386464).

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

231082080 is a wasteful number, since it uses less digits than its factorization.

231082080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10308 (or 10300 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 231082080 is about 15201.3841475045. The cubic root of 231082080 is about 613.6519086422.

The spelling of 231082080 in words is "two hundred thirty-one million, eighty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 80 94 96 120 141 160 188 235 240 282 376 470 480 564 705 752 940 1128 1410 1504 1880 2256 2820 3760 4512 5640 7520 10243 11280 20486 22560 30729 40972 51215 61458 81944 102430 122916 153645 163888 204860 245832 307290 327776 409720 481421 491664 614580 819440 962842 983328 1229160 1444263 1638880 1925684 2407105 2458320 2888526 3851368 4814210 4916640 5777052 7221315 7702736 9628420 11554104 14442630 15405472 19256840 23108208 28885260 38513680 46216416 57770520 77027360 115541040 231082080