22524006400 has 351 divisors, whose sum is σ = 65955725829. Its totient is φ = 7607255040.

The previous prime is 22524006397. The next prime is 22524006457. The reversal of 22524006400 is 460042522.

The square root of 22524006400 is 150080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8108642304 + 14415364096 = 90048^2 + 120064^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 26 ways as a sum of consecutive naturals, for example, 336179167 + ... + 336179233.

Almost surely, 2^22524006400 is an apocalyptic number.

22524006400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22524006400 is the 150080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22524006400

22524006400 is an abundant number, since it is smaller than the sum of its proper divisors (43431719429).

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

22524006400 is an frugal number, since it uses more digits than its factorization.

22524006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Multiplying 22524006400 by its sum of digits (25), we get a square (563100160000 = 750400²).

22524006400 divided by its sum of digits (25) gives a square (900960256 = 30016²).

Adding to 22524006400 its reverse (460042522), we get a palindrome (22984048922).

The spelling of 22524006400 in words is "twenty-two billion, five hundred twenty-four million, six thousand, four hundred".