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23290120 = 2357223373
BaseRepresentation
bin101100011011…
…0000100001000
31121211021001001
41120312010020
521430240440
62151104344
7401651140
oct130660410
947737031
1023290120
1112168237
1279720b4
134a95b49
143143920
1520a0b9a
hex1636108

23290120 has 64 divisors (see below), whose sum is σ = 60318720. Its totient is φ = 7928064.

The previous prime is 23290117. The next prime is 23290121. The reversal of 23290120 is 2109232.

It is a happy number.

It is a super-2 number, since 2×232901202 = 1084859379228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23290121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62254 + ... + 62626.

It is an arithmetic number, because the mean of its divisors is an integer number (942480).

Almost surely, 223290120 is an apocalyptic number.

23290120 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 23290120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30159360).

23290120 is an abundant number, since it is smaller than the sum of its proper divisors (37028600).

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

23290120 is a wasteful number, since it uses less digits than its factorization.

23290120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 23290120 is about 4825.9838375196. The cubic root of 23290120 is about 285.5774482843.

Adding to 23290120 its reverse (2109232), we get a palindrome (25399352).

The spelling of 23290120 in words is "twenty-three million, two hundred ninety thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 223 280 373 446 746 892 1115 1492 1561 1784 1865 2230 2611 2984 3122 3730 4460 5222 6244 7460 7805 8920 10444 12488 13055 14920 15610 20888 26110 31220 52220 62440 83179 104440 166358 332716 415895 582253 665432 831790 1164506 1663580 2329012 2911265 3327160 4658024 5822530 11645060 23290120