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231337728 = 283333469
BaseRepresentation
bin11011100100111…
…10111100000000
3121010022011201000
431302132330000
5433210301403
634542212000
75506224006
oct1562367400
9533264630
10231337728
11109647506
1265584000
1338c0a13b
1422a1ca76
15154997a3
hexdc9ef00

231337728 has 72 divisors (see below), whose sum is σ = 684126800. Its totient is φ = 77110272.

The previous prime is 231337663. The next prime is 231337741. The reversal of 231337728 is 827733132.

231337728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 231337692 and 231337701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9823 + ... + 23646.

Almost surely, 2231337728 is an apocalyptic number.

It is an amenable number.

231337728 is an abundant number, since it is smaller than the sum of its proper divisors (452789072).

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

231337728 is an equidigital number, since it uses as much as digits as its factorization.

231337728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33494 (or 33474 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 231337728 is about 15209.7905311020. The cubic root of 231337728 is about 613.8781212886.

The spelling of 231337728 in words is "two hundred thirty-one million, three hundred thirty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 33469 66938 100407 133876 200814 267752 301221 401628 535504 602442 803256 903663 1071008 1204884 1606512 1807326 2142016 2409768 3213024 3614652 4284032 4819536 6426048 7229304 8568064 9639072 12852096 14458608 19278144 25704192 28917216 38556288 57834432 77112576 115668864 231337728