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231168384 = 273366889
BaseRepresentation
bin11011100011101…
…01100110000000
3121002222120102000
431301311212000
5433134342014
634534424000
75504620206
oct1561654600
9532876360
10231168384
11109541257
1265502000
1338b7b035
14229b7076
1515464509
hexdc75980

231168384 has 64 divisors (see below), whose sum is σ = 682278000. Its totient is φ = 77054976.

The previous prime is 231168349. The next prime is 231168391. The reversal of 231168384 is 483861132.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2311683842 = 106877643522342912, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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 7 ways as a sum of consecutive naturals, for example, 29989 + ... + 36900.

Almost surely, 2231168384 is an apocalyptic number.

231168384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

231168384 is an abundant number, since it is smaller than the sum of its proper divisors (451109616).

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

231168384 is an equidigital number, since it uses as much as digits as its factorization.

231168384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66912 (or 66894 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 231168384 is about 15204.2225713780. Note that the first 3 decimals coincide. The cubic root of 231168384 is about 613.7282942314.

The spelling of 231168384 in words is "two hundred thirty-one million, one hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 66889 133778 200667 267556 401334 535112 602001 802668 1070224 1204002 1605336 1806003 2140448 2408004 3210672 3612006 4280896 4816008 6421344 7224012 8561792 9632016 12842688 14448024 19264032 25685376 28896048 38528064 57792096 77056128 115584192 231168384