Search a number
-
+
23218848 = 253280621
BaseRepresentation
bin101100010010…
…0101010100000
31121200122021100
41120210222200
521421000343
62145354400
7401233302
oct130445240
947618240
1023218848
1112119734
127938a00
134a6c583
143125972
1520899d3
hex1624aa0

23218848 has 36 divisors (see below), whose sum is σ = 66029418. Its totient is φ = 7739520.

The previous prime is 23218847. The next prime is 23218859. The reversal of 23218848 is 84881232.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 23155344 + 63504 = 4812^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×232188482 = 1078229804894208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (23218843) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40023 + ... + 40598.

Almost surely, 223218848 is an apocalyptic number.

It is an amenable number.

23218848 is an abundant number, since it is smaller than the sum of its proper divisors (42810570).

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

23218848 is a wasteful number, since it uses less digits than its factorization.

23218848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80637 (or 80626 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 23218848 is about 4818.5939858013. The cubic root of 23218848 is about 285.2858443303.

The spelling of 23218848 in words is "twenty-three million, two hundred eighteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 80621 161242 241863 322484 483726 644968 725589 967452 1289936 1451178 1934904 2579872 2902356 3869808 5804712 7739616 11609424 23218848