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231011220 = 223511418537
BaseRepresentation
bin11011100010011…
…11001110010100
3121002200120211010
431301033032110
5433114324340
634531212220
75503364046
oct1561171624
9532616733
10231011220
11109444170
1265447070
1338b2463b
1422975a96
1515432b80
hexdc4f394

231011220 has 96 divisors (see below), whose sum is σ = 722929536. Its totient is φ = 54630400.

The previous prime is 231011219. The next prime is 231011227. The reversal of 231011220 is 22110132.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 231011196 and 231011205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231011227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22792 + ... + 31328.

It is an arithmetic number, because the mean of its divisors is an integer number (7530516).

Almost surely, 2231011220 is an apocalyptic number.

231011220 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 231011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361464768).

231011220 is an abundant number, since it is smaller than the sum of its proper divisors (491918316).

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

231011220 is a wasteful number, since it uses less digits than its factorization.

231011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8601 (or 8599 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 231011220 is about 15199.0532599896. The cubic root of 231011220 is about 613.5891779455.

Adding to 231011220 its reverse (22110132), we get a palindrome (253121352).

It can be divided in two parts, 2310112 and 20, that added together give a palindrome (2310132).

The spelling of 231011220 in words is "two hundred thirty-one million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 41 44 55 60 66 82 110 123 132 164 165 205 220 246 330 410 451 492 615 660 820 902 1230 1353 1804 2255 2460 2706 4510 5412 6765 8537 9020 13530 17074 25611 27060 34148 42685 51222 85370 93907 102444 128055 170740 187814 256110 281721 350017 375628 469535 512220 563442 700034 939070 1050051 1126884 1400068 1408605 1750085 1878140 2100102 2817210 3500170 3850187 4200204 5250255 5634420 7000340 7700374 10500510 11550561 15400748 19250935 21001020 23101122 38501870 46202244 57752805 77003740 115505610 231011220