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231888640 = 285296247
BaseRepresentation
bin11011101001001…
…01011100000000
3121011100011102011
431310211130000
5433330414030
635002102304
75514010114
oct1564453400
9534304364
10231888640
11109993405
12657aa994
1339070b19
1422b23744
1515557b2a
hexdd25700

231888640 has 72 divisors (see below), whose sum is σ = 574691040. Its totient is φ = 89542656.

The previous prime is 231888617. The next prime is 231888641. The reversal of 231888640 is 46888132.

It is a super-2 number, since 2×2318886402 = 107544682722099200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 231888593 and 231888602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231888641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33997 + ... + 40243.

It is an arithmetic number, because the mean of its divisors is an integer number (7981820).

Almost surely, 2231888640 is an apocalyptic number.

231888640 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 231888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287345520).

231888640 is an abundant number, since it is smaller than the sum of its proper divisors (342802400).

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

231888640 is an equidigital number, since it uses as much as digits as its factorization.

231888640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6297 (or 6283 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 231888640 is about 15227.8902018632. The cubic root of 231888640 is about 614.3650352643.

The spelling of 231888640 in words is "two hundred thirty-one million, eight hundred eighty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 464 580 640 928 1160 1280 1856 2320 3712 4640 6247 7424 9280 12494 18560 24988 31235 37120 49976 62470 99952 124940 181163 199904 249880 362326 399808 499760 724652 799616 905815 999520 1449304 1599232 1811630 1999040 2898608 3623260 3998080 5797216 7246520 7996160 11594432 14493040 23188864 28986080 46377728 57972160 115944320 231888640