22532400 has 180 divisors, whose sum is σ = 85452120. Its totient is φ = 5452800.

The previous prime is 22532369. The next prime is 22532401. The reversal of 22532400 is 423522.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22532401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39316 + ... + 39884.

It is an arithmetic number, because the mean of its divisors is an integer number (474734).

Almost surely, 2^22532400 is an apocalyptic number.

22532400 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 22532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42726060).

22532400 is an abundant number, since it is smaller than the sum of its proper divisors (62919720).

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

22532400 is a wasteful number, since it uses less digits than its factorization.

22532400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 22532400 is about 4746.8305215164. The cubic root of 22532400 is about 282.4462528600.

Adding to 22532400 its reverse (423522), we get a palindrome (22955922).

It can be divided in two parts, 225 and 32400, that multiplied together give a square (7290000 = 2700²).

The spelling of 22532400 in words is "twenty-two million, five hundred thirty-two thousand, four hundred".