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23213160 = 23325173793
BaseRepresentation
bin101100010001…
…1010001101000
31121200100110200
41120203101220
521420310120
62145312200
7401210565
oct130432150
947610420
1023213160
1112115433
127935660
134a69ac9
14312386c
152087e90
hex1623468

23213160 has 96 divisors (see below), whose sum is σ = 79901640. Its totient is φ = 5824512.

The previous prime is 23213153. The next prime is 23213161. The reversal of 23213160 is 6131232.

It can be written as a sum of positive squares in 4 ways, for example, as 18096516 + 5116644 = 4254^2 + 2262^2 .

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

It is not an unprimeable number, because it can be changed into a prime (23213161) 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, 4224 + ... + 8016.

Almost surely, 223213160 is an apocalyptic number.

23213160 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 23213160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39950820).

23213160 is an abundant number, since it is smaller than the sum of its proper divisors (56688480).

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

23213160 is a wasteful number, since it uses less digits than its factorization.

23213160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3827 (or 3820 counting only the distinct ones).

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

The square root of 23213160 is about 4818.0037359886. The cubic root of 23213160 is about 285.2625466139.

Adding to 23213160 its reverse (6131232), we get a palindrome (29344392).

The spelling of 23213160 in words is "twenty-three million, two hundred thirteen thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 3793 6120 7586 11379 15172 18965 22758 30344 34137 37930 45516 56895 64481 68274 75860 91032 113790 128962 136548 151720 170685 193443 227580 257924 273096 322405 341370 386886 455160 515848 580329 644810 682740 773772 967215 1160658 1289620 1365480 1547544 1934430 2321316 2579240 2901645 3868860 4642632 5803290 7737720 11606580 23213160