22950240 has 96 divisors (see below), whose sum is σ = 73029600. Its totient is φ = 6057984.

The previous prime is 22950229. The next prime is 22950269. The reversal of 22950240 is 4205922.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22950240.

It is a congruent number.

It is an unprimeable number.

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, 65586 + ... + 65934.

It is an arithmetic number, because the mean of its divisors is an integer number (760725).

Almost surely, 2^22950240 is an apocalyptic number.

22950240 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 22950240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36514800).

22950240 is an abundant number, since it is smaller than the sum of its proper divisors (50079360).

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

22950240 is a wasteful number, since it uses less digits than its factorization.

22950240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 22950240 is about 4790.6408757075. The cubic root of 22950240 is about 284.1814617596.

The spelling of 22950240 in words is "twenty-two million, nine hundred fifty thousand, two hundred forty".