22552400 has 60 divisors (see below), whose sum is σ = 58363452. Its totient is φ = 8325120.

The previous prime is 22552393. The next prime is 22552417. The reversal of 22552400 is 425522.

It can be written as a sum of positive squares in 6 ways, for example, as 8832784 + 13719616 = 2972^2 + 3704^2 .

It is a super-2 number, since 2×22552400² = 1017221491520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 3032 + ... + 7368.

Almost surely, 2^22552400 is an apocalyptic number.

22552400 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 22552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29181726).

22552400 is an abundant number, since it is smaller than the sum of its proper divisors (35811052).

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

22552400 is a wasteful number, since it uses less digits than its factorization.

22552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4368 (or 4357 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 22552400 is about 4748.9367230992. The cubic root of 22552400 is about 282.5297955886.

Adding to 22552400 its reverse (425522), we get a palindrome (22977922).

It can be divided in two parts, 225 and 52400, that added together give a palindrome (52625).

The spelling of 22552400 in words is "twenty-two million, five hundred fifty-two thousand, four hundred".