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23215120 = 245290189
BaseRepresentation
bin101100010001…
…1110000010000
31121200110011021
41120203300100
521420340440
62145325224
7401216365
oct130436020
947613137
1023215120
1112116955
127936814
134a6a976
14312446c
15208884a
hex1623c10

23215120 has 20 divisors (see below), whose sum is σ = 53975340. Its totient is φ = 9286016.

The previous prime is 23215117. The next prime is 23215139. The reversal of 23215120 is 2151232.

It can be written as a sum of positive squares in 2 ways, for example, as 12166144 + 11048976 = 3488^2 + 3324^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×232151202 = 1077883593228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 23215094 and 23215103.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 145015 + ... + 145174.

It is an arithmetic number, because the mean of its divisors is an integer number (2698767).

Almost surely, 223215120 is an apocalyptic number.

23215120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23215120 is an abundant number, since it is smaller than the sum of its proper divisors (30760220).

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

23215120 is a wasteful number, since it uses less digits than its factorization.

23215120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290202 (or 290196 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 23215120 is about 4818.2071354395. The cubic root of 23215120 is about 285.2705750893.

Adding to 23215120 its reverse (2151232), we get a palindrome (25366352).

The spelling of 23215120 in words is "twenty-three million, two hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 290189 580378 1160756 1450945 2321512 2901890 4643024 5803780 11607560 23215120