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231357312 = 2732474273
BaseRepresentation
bin11011100101000…
…11101110000000
3121010100011120100
431302203232000
5433211413222
634542442400
75506335054
oct1562435600
9533304510
10231357312
1110966019a
1265593400
1338c16024
1422a25c64
15154a04ac
hexdca3b80

231357312 has 96 divisors (see below), whose sum is σ = 680078880. Its totient is φ = 75460608.

The previous prime is 231357293. The next prime is 231357341. The reversal of 231357312 is 213753132.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52008 + ... + 56280.

It is an arithmetic number, because the mean of its divisors is an integer number (7084155).

Almost surely, 2231357312 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 231357312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340039440).

231357312 is an abundant number, since it is smaller than the sum of its proper divisors (448721568).

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

231357312 is a wasteful number, since it uses less digits than its factorization.

231357312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4340 (or 4325 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 231357312 is about 15210.4343133258. The cubic root of 231357312 is about 613.8954435098.

The spelling of 231357312 in words is "two hundred thirty-one million, three hundred fifty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 282 288 376 384 423 564 576 752 846 1128 1152 1504 1692 2256 3008 3384 4273 4512 6016 6768 8546 9024 12819 13536 17092 18048 25638 27072 34184 38457 51276 54144 68368 76914 102552 136736 153828 200831 205104 273472 307656 401662 410208 546944 602493 615312 803324 820416 1204986 1230624 1606648 1640832 1807479 2409972 2461248 3213296 3614958 4819944 4922496 6426592 7229916 9639888 12853184 14459832 19279776 25706368 28919664 38559552 57839328 77119104 115678656 231357312