225251214100 has 72 divisors (see below), whose sum is σ = 538123370400. Its totient is φ = 81158025600.

The previous prime is 225251214059. The next prime is 225251214103. The reversal of 225251214100 is 1412152522.

225251214100 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 (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225251214103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 819430 + ... + 1059229.

It is an arithmetic number, because the mean of its divisors is an integer number (7473935700).

Almost surely, 2^225251214100 is an apocalyptic number.

225251214100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225251214100 is an abundant number, since it is smaller than the sum of its proper divisors (312872156300).

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

225251214100 is a wasteful number, since it uses less digits than its factorization.

225251214100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878793 (or 1878786 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 225251214100 its reverse (1412152522), we get a palindrome (226663366622).

The spelling of 225251214100 in words is "two hundred twenty-five billion, two hundred fifty-one million, two hundred fourteen thousand, one hundred".