225082368 has 176 divisors, whose sum is σ = 762466560. Its totient is φ = 64253952.

The previous prime is 225082343. The next prime is 225082373. The reversal of 225082368 is 863280522.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192955 + ... + 194117.

Almost surely, 2^225082368 is an apocalyptic number.

225082368 is a gapful number since it is divisible by the number (28) 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 225082368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381233280).

225082368 is an abundant number, since it is smaller than the sum of its proper divisors (537384192).

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

225082368 is a wasteful number, since it uses less digits than its factorization.

225082368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 225082368 is about 15002.7453487687. The cubic root of 225082368 is about 608.2944095860.

The spelling of 225082368 in words is "two hundred twenty-five million, eighty-two thousand, three hundred sixty-eight".