225698800 has 60 divisors (see below), whose sum is σ = 574155216. Its totient is φ = 84966400.

The previous prime is 225698797. The next prime is 225698807. The reversal of 225698800 is 8896522.

225698800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225698807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9796 + ... + 23395.

Almost surely, 2^225698800 is an apocalyptic number.

225698800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225698800 is an abundant number, since it is smaller than the sum of its proper divisors (348456416).

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

225698800 is a wasteful number, since it uses less digits than its factorization.

225698800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33226 (or 33215 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 225698800 is about 15023.2752753852. The cubic root of 225698800 is about 608.8492144059.

The spelling of 225698800 in words is "two hundred twenty-five million, six hundred ninety-eight thousand, eight hundred".