225373824 has 192 divisors, whose sum is σ = 710073000. Its totient is φ = 68198400.

The previous prime is 225373787. The next prime is 225373829. The reversal of 225373824 is 428373522.

It can be written as a sum of positive squares in 4 ways, for example, as 171086400 + 54287424 = 13080^2 + 7368^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (225373829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1512502 + ... + 1512650.

Almost surely, 2^225373824 is an apocalyptic number.

225373824 is a gapful number since it is divisible by the number (24) 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 225373824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355036500).

225373824 is an abundant number, since it is smaller than the sum of its proper divisors (484699176).

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

225373824 is a wasteful number, since it uses less digits than its factorization.

225373824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 268 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 225373824 is about 15012.4556285772. The cubic root of 225373824 is about 608.5568536387.

The spelling of 225373824 in words is "two hundred twenty-five million, three hundred seventy-three thousand, eight hundred twenty-four".