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231542720 = 26517311373
BaseRepresentation
bin11011100110100…
…00111111000000
3121010200120220022
431303100333000
5433233331340
634550433012
75511036443
oct1563207700
9533616808
10231542720
11109777522
1265662768
1338c7c536
1422a7365a
15154da3b5
hexdcd0fc0

231542720 has 112 divisors (see below), whose sum is σ = 603065088. Its totient is φ = 84295680.

The previous prime is 231542713. The next prime is 231542747. The reversal of 231542720 is 27245132.

231542720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2315427202 = 107224062369996800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 231542720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167954 + ... + 169326.

Almost surely, 2231542720 is an apocalyptic number.

231542720 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 231542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301532544).

231542720 is an abundant number, since it is smaller than the sum of its proper divisors (371522368).

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

231542720 is a wasteful number, since it uses less digits than its factorization.

231542720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 231542720 is about 15216.5278562489. The cubic root of 231542720 is about 614.0593901109.

Adding to 231542720 its reverse (27245132), we get a palindrome (258787852).

The spelling of 231542720 in words is "two hundred thirty-one million, five hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 31 32 34 40 62 64 68 80 85 124 136 155 160 170 248 272 310 320 340 496 527 544 620 680 992 1054 1088 1240 1360 1373 1984 2108 2480 2635 2720 2746 4216 4960 5270 5440 5492 6865 8432 9920 10540 10984 13730 16864 21080 21968 23341 27460 33728 42160 42563 43936 46682 54920 84320 85126 87872 93364 109840 116705 168640 170252 186728 212815 219680 233410 340504 373456 425630 439360 466820 681008 723571 746912 851260 933640 1362016 1447142 1493824 1702520 1867280 2724032 2894284 3405040 3617855 3734560 5788568 6810080 7235710 7469120 11577136 13620160 14471420 23154272 28942840 46308544 57885680 115771360 231542720