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23229580 = 22511229331
BaseRepresentation
bin101100010011…
…1010010001100
31121201011222211
41120213102030
521421321310
62145520204
7401306503
oct130472214
947634884
1023229580
1112126800
127943064
134a7441a
14312983a
15208cc8a
hex162748c

23229580 has 72 divisors (see below), whose sum is σ = 55636560. Its totient is φ = 8131200.

The previous prime is 23229553. The next prime is 23229601. The reversal of 23229580 is 8592232.

It is a super-2 number, since 2×232295802 = 1079226773952800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70015 + ... + 70345.

It is an arithmetic number, because the mean of its divisors is an integer number (772730).

Almost surely, 223229580 is an apocalyptic number.

23229580 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 23229580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27818280).

23229580 is an abundant number, since it is smaller than the sum of its proper divisors (32406980).

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

23229580 is a wasteful number, since it uses less digits than its factorization.

23229580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 23229580 is about 4819.7074600021. The cubic root of 23229580 is about 285.3297916166.

The spelling of 23229580 in words is "twenty-three million, two hundred twenty-nine thousand, five hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 121 145 220 242 290 319 331 484 580 605 638 662 1210 1276 1324 1595 1655 2420 3190 3310 3509 3641 6380 6620 7018 7282 9599 14036 14564 17545 18205 19198 35090 36410 38396 40051 47995 70180 72820 80102 95990 105589 160204 191980 200255 211178 400510 422356 527945 801020 1055890 1161479 2111780 2322958 4645916 5807395 11614790 23229580