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231330220 = 225112175623
BaseRepresentation
bin11011100100111…
…01000110101100
3121010021210101221
431302131012230
5433210031340
634542113124
75506163062
oct1562350654
9533253357
10231330220
11109641900
126557b7a4
1338c068b4
1422a1a032
151549744a
hexdc9d1ac

231330220 has 72 divisors (see below), whose sum is σ = 565481952. Its totient is φ = 79157760.

The previous prime is 231330217. The next prime is 231330227. The reversal of 231330220 is 22033132.

It is a junction number, because it is equal to n+sod(n) for n = 231330194 and 231330203.

It is not an unprimeable number, because it can be changed into a prime (231330227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38329 + ... + 43951.

It is an arithmetic number, because the mean of its divisors is an integer number (7853916).

Almost surely, 2231330220 is an apocalyptic number.

231330220 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 231330220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282740976).

231330220 is an abundant number, since it is smaller than the sum of its proper divisors (334151732).

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

231330220 is a wasteful number, since it uses less digits than its factorization.

231330220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5671 (or 5658 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 231330220 is about 15209.5437143920. The cubic root of 231330220 is about 613.8714801370.

Adding to 231330220 its reverse (22033132), we get a palindrome (253363352).

The spelling of 231330220 in words is "two hundred thirty-one million, three hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 121 170 187 220 242 340 374 484 605 748 935 1210 1870 2057 2420 3740 4114 5623 8228 10285 11246 20570 22492 28115 41140 56230 61853 95591 112460 123706 191182 247412 309265 382364 477955 618530 680383 955910 1051501 1237060 1360766 1911820 2103002 2721532 3401915 4206004 5257505 6803830 10515010 11566511 13607660 21030020 23133022 46266044 57832555 115665110 231330220