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231813072 = 243219193439
BaseRepresentation
bin11011101000100…
…10111111010000
3121011012022202100
431310102333100
5433321004242
635000320400
75513243601
oct1564227720
9534168670
10231813072
11109941657
1265773100
13390455ca
1422b03da8
151554054c
hexdd12fd0

231813072 has 120 divisors (see below), whose sum is σ = 688001600. Its totient is φ = 72658944.

The previous prime is 231813047. The next prime is 231813077. The reversal of 231813072 is 270318132.

231813072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231813077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 527829 + ... + 528267.

Almost surely, 2231813072 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 231813072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344000800).

231813072 is an abundant number, since it is smaller than the sum of its proper divisors (456188528).

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

231813072 is a wasteful number, since it uses less digits than its factorization.

231813072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 231813072 is about 15225.4087629856. The cubic root of 231813072 is about 614.2982914729.

The spelling of 231813072 in words is "two hundred thirty-one million, eight hundred thirteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 193 228 304 342 386 439 456 579 684 772 878 912 1158 1317 1368 1544 1737 1756 2316 2634 2736 3088 3474 3512 3667 3951 4632 5268 6948 7024 7334 7902 8341 9264 10536 11001 13896 14668 15804 16682 21072 22002 25023 27792 29336 31608 33003 33364 44004 50046 58672 63216 66006 66728 75069 84727 88008 100092 132012 133456 150138 169454 176016 200184 254181 264024 300276 338908 400368 508362 528048 600552 677816 762543 1016724 1201104 1355632 1525086 1609813 2033448 3050172 3219626 4066896 4829439 6100344 6439252 9658878 12200688 12878504 14488317 19317756 25757008 28976634 38635512 57953268 77271024 115906536 231813072