22312400 has 90 divisors (see below), whose sum is σ = 59049606. Its totient is φ = 8096000.

The previous prime is 22312393. The next prime is 22312421. The reversal of 22312400 is 421322.

It can be written as a sum of positive squares in 3 ways, for example, as 559504 + 21752896 = 748^2 + 4664^2 .

It is a super-3 number, since 3×22312400³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48170 + ... + 48630.

Almost surely, 2^22312400 is an apocalyptic number.

22312400 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 22312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29524803).

22312400 is an abundant number, since it is smaller than the sum of its proper divisors (36737206).

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

22312400 is a wasteful number, since it uses less digits than its factorization.

22312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 22312400 is about 4723.6003217885. The cubic root of 22312400 is about 281.5240029296.

Adding to 22312400 its reverse (421322), we get a palindrome (22733722).

The spelling of 22312400 in words is "twenty-two million, three hundred twelve thousand, four hundred".