225698400 has 324 divisors, whose sum is σ = 845656812. Its totient is φ = 58786560.

The previous prime is 225698377. The next prime is 225698401. The reversal of 225698400 is 4896522.

It is a happy number.

225698400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (324).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225698401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5248779 + ... + 5248821.

Almost surely, 2^225698400 is an apocalyptic number.

225698400 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 225698400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422828406).

225698400 is an abundant number, since it is smaller than the sum of its proper divisors (619958412).

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

225698400 is an frugal number, since it uses more digits than its factorization.

225698400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 225698400 is about 15023.2619627030. The cubic root of 225698400 is about 608.8488547232.

The spelling of 225698400 in words is "two hundred twenty-five million, six hundred ninety-eight thousand, four hundred".