22312900 has 18 divisors (see below), whose sum is σ = 48419210. Its totient is φ = 8925120.

The previous prime is 22312889. The next prime is 22312903. The reversal of 22312900 is 921322.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 166464 + 22146436 = 408^2 + 4706^2 .

It is a super-3 number, since 3×22312900³ (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (22312903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111465 + ... + 111664.

Almost surely, 2^22312900 is an apocalyptic number.

22312900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22312900 is an abundant number, since it is smaller than the sum of its proper divisors (26106310).

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

22312900 is a wasteful number, since it uses less digits than its factorization.

22312900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223143 (or 223136 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 22312900 is about 4723.6532472230. The cubic root of 22312900 is about 281.5261058103.

The spelling of 22312900 in words is "twenty-two million, three hundred twelve thousand, nine hundred".