22913280 has 360 divisors, whose sum is σ = 93488472. Its totient is φ = 5308416.

The previous prime is 22913279. The next prime is 22913311. The reversal of 22913280 is 8231922.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1679616 + 21233664 = 1296^2 + 4608^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1347832 + ... + 1347848.

Almost surely, 2^22913280 is an apocalyptic number.

22913280 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 22913280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46744236).

22913280 is an abundant number, since it is smaller than the sum of its proper divisors (70575192).

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

22913280 is a wasteful number, since it uses less digits than its factorization.

22913280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 22913280 is about 4786.7817999153. The cubic root of 22913280 is about 284.0288273323.

The spelling of 22913280 in words is "twenty-two million, nine hundred thirteen thousand, two hundred eighty".