23008280 has 64 divisors (see below), whose sum is σ = 54820800. Its totient is φ = 8673280.

The previous prime is 23008277. The next prime is 23008283. The reversal of 23008280 is 8280032.

23008280 = T₁₇₄₄ + T₁₇₄₅ + ... + T₁₇₅₈.

It is an interprime number because it is at equal distance from previous prime (23008277) and next prime (23008283).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23008283) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 81740 + ... + 82020.

It is an arithmetic number, because the mean of its divisors is an integer number (856575).

Almost surely, 2^23008280 is an apocalyptic number.

23008280 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 23008280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27410400).

23008280 is an abundant number, since it is smaller than the sum of its proper divisors (31812520).

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

23008280 is a wasteful number, since it uses less digits than its factorization.

23008280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 23008280 is about 4796.6946953084. The cubic root of 23008280 is about 284.4208202946.

The spelling of 23008280 in words is "twenty-three million, eight thousand, two hundred eighty".