225142800 has 120 divisors (see below), whose sum is σ = 724578624. Its totient is φ = 59758080.

The previous prime is 225142793. The next prime is 225142843. The reversal of 225142800 is 8241522.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 447349 + ... + 447851.

Almost surely, 2^225142800 is an apocalyptic number.

225142800 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 225142800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362289312).

225142800 is an abundant number, since it is smaller than the sum of its proper divisors (499435824).

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

225142800 is a wasteful number, since it uses less digits than its factorization.

225142800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 225142800 is about 15004.7592449862. The cubic root of 225142800 is about 608.3488447078.

The spelling of 225142800 in words is "two hundred twenty-five million, one hundred forty-two thousand, eight hundred".