225150400 has 84 divisors (see below), whose sum is σ = 559526440. Its totient is φ = 89164800.

The previous prime is 225150371. The next prime is 225150421. The reversal of 225150400 is 4051522.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 173755 + ... + 175045.

Almost surely, 2^225150400 is an apocalyptic number.

225150400 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 225150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279763220).

225150400 is an abundant number, since it is smaller than the sum of its proper divisors (334376040).

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

225150400 is a wasteful number, since it uses less digits than its factorization.

225150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 225150400 is about 15005.0124958295. The cubic root of 225150400 is about 608.3556898437.

The spelling of 225150400 in words is "two hundred twenty-five million, one hundred fifty thousand, four hundred".