22505760 has 72 divisors (see below), whose sum is σ = 76805820. Its totient is φ = 6001152.

The previous prime is 22505759. The next prime is 22505771. The reversal of 22505760 is 6750522.

It can be written as a sum of positive squares in 2 ways, for example, as 20466576 + 2039184 = 4524^2 + 1428^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nialpdrome in base 12.

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 11 ways as a sum of consecutive naturals, for example, 6375 + ... + 9254.

Almost surely, 2^22505760 is an apocalyptic number.

22505760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22505760 is an abundant number, since it is smaller than the sum of its proper divisors (54300060).

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

22505760 is a wasteful number, since it uses less digits than its factorization.

22505760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15650 (or 15639 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 22505760 is about 4744.0236087102. The cubic root of 22505760 is about 282.3348971312.

It can be divided in two parts, 2250 and 5760, that multiplied together give a 4-th power (12960000 = 60⁴).

The spelling of 22505760 in words is "twenty-two million, five hundred five thousand, seven hundred sixty".