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231313220 = 225171961587
BaseRepresentation
bin11011100100110…
…00111101000100
3121010020221002022
431302120331010
5433204010340
634541502312
75506062365
oct1562307504
9533227068
10231313220
11109630056
1265571998
1338bcbc38
1422a13b6c
15154923b5
hexdc98f44

231313220 has 96 divisors (see below), whose sum is σ = 551214720. Its totient is φ = 81008640.

The previous prime is 231313213. The next prime is 231313223. The reversal of 231313220 is 22313132.

231313220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (231313223) 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, 393767 + ... + 394353.

It is an arithmetic number, because the mean of its divisors is an integer number (5741820).

Almost surely, 2231313220 is an apocalyptic number.

231313220 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 231313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275607360).

231313220 is an abundant number, since it is smaller than the sum of its proper divisors (319901500).

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

231313220 is a wasteful number, since it uses less digits than its factorization.

231313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 231313220 is about 15208.9848444924. The cubic root of 231313220 is about 613.8564423686.

Adding to 231313220 its reverse (22313132), we get a palindrome (253626352).

The spelling of 231313220 in words is "two hundred thirty-one million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 61 68 76 85 95 122 170 190 244 305 323 340 380 587 610 646 1037 1159 1174 1220 1292 1615 2074 2318 2348 2935 3230 4148 4636 5185 5795 5870 6460 9979 10370 11153 11590 11740 19703 19958 20740 22306 23180 35807 39406 39916 44612 49895 55765 71614 78812 98515 99790 111530 143228 179035 189601 197030 199580 223060 358070 379202 394060 608719 680333 716140 758404 948005 1217438 1360666 1896010 2434876 2721332 3043595 3401665 3792020 6087190 6803330 11565661 12174380 13606660 23131322 46262644 57828305 115656610 231313220