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231163020 = 2232511313373
BaseRepresentation
bin11011100011101…
…00010010001100
3121002222022001100
431301310102030
5433134204040
634534343100
75504565444
oct1561642214
9532868040
10231163020
11109538220
12654baa90
1338b7876a
14229b5124
1515462b30
hexdc7448c

231163020 has 144 divisors (see below), whose sum is σ = 769440672. Its totient is φ = 55710720.

The previous prime is 231162989. The next prime is 231163033. The reversal of 231163020 is 20361132.

231163020 is a `hidden beast` number, since 2 + 3 + 11 + 630 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 231162984 and 231163002.

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 47 ways as a sum of consecutive naturals, for example, 619554 + ... + 619926.

It is an arithmetic number, because the mean of its divisors is an integer number (5343338).

Almost surely, 2231163020 is an apocalyptic number.

231163020 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 231163020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384720336).

231163020 is an abundant number, since it is smaller than the sum of its proper divisors (538277652).

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

231163020 is a wasteful number, since it uses less digits than its factorization.

231163020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 231163020 is about 15204.0461719899. The cubic root of 231163020 is about 613.7235472385.

The spelling of 231163020 in words is "two hundred thirty-one million, one hundred sixty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 313 330 373 396 495 626 660 746 939 990 1119 1252 1492 1565 1865 1878 1980 2238 2817 3130 3357 3443 3730 3756 4103 4476 4695 5595 5634 6260 6714 6886 7460 8206 9390 10329 11190 11268 12309 13428 13772 14085 16412 16785 17215 18780 20515 20658 22380 24618 28170 30987 33570 34430 36927 41030 41316 49236 51645 56340 61545 61974 67140 68860 73854 82060 103290 116749 123090 123948 147708 154935 184635 206580 233498 246180 309870 350247 369270 466996 583745 619740 700494 738540 1050741 1167490 1284239 1400988 1751235 2101482 2334980 2568478 3502470 3852717 4202964 5136956 5253705 6421195 7004940 7705434 10507410 11558151 12842390 15410868 19263585 21014820 23116302 25684780 38527170 46232604 57790755 77054340 115581510 231163020