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231300920 = 235311031811
BaseRepresentation
bin11011100100101…
…01111100111000
3121010020022012202
431302111330320
5433203112140
634541325332
75506011464
oct1562257470
9533208182
10231300920
11109621894
1265566848
1338bc6466
1422a0d4a4
151548d915
hexdc95f38

231300920 has 64 divisors (see below), whose sum is σ = 542730240. Its totient is φ = 88617600.

The previous prime is 231300919. The next prime is 231300931. The reversal of 231300920 is 29003132.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 231300892 and 231300901.

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, 126815 + ... + 128625.

It is an arithmetic number, because the mean of its divisors is an integer number (8480160).

Almost surely, 2231300920 is an apocalyptic number.

231300920 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 231300920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271365120).

231300920 is an abundant number, since it is smaller than the sum of its proper divisors (311429320).

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

231300920 is a wasteful number, since it uses less digits than its factorization.

231300920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 231300920 is about 15208.5804728778. The cubic root of 231300920 is about 613.8455616415.

The spelling of 231300920 in words is "two hundred thirty-one million, three hundred thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 103 124 155 206 248 310 412 515 620 824 1030 1240 1811 2060 3193 3622 4120 6386 7244 9055 12772 14488 15965 18110 25544 31930 36220 56141 63860 72440 112282 127720 186533 224564 280705 373066 449128 561410 746132 932665 1122820 1492264 1865330 2245640 3730660 5782523 7461320 11565046 23130092 28912615 46260184 57825230 115650460 231300920