225230090400 has 504 divisors, whose sum is σ = 942174009504. Its totient is φ = 51480230400.

The previous prime is 225230090387. The next prime is 225230090431. The reversal of 225230090400 is 4090032522.

225230090400 is a `hidden beast` number, since 2 + 25 + 230 + 0 + 9 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4054815 + ... + 4109985.

It is an arithmetic number, because the mean of its divisors is an integer number (1869392876).

Almost surely, 2^225230090400 is an apocalyptic number.

225230090400 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 225230090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471087004752).

225230090400 is an abundant number, since it is smaller than the sum of its proper divisors (716943919104).

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

225230090400 is an equidigital number, since it uses as much as digits as its factorization.

225230090400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55216 (or 55188 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 225230090400 in words is "two hundred twenty-five billion, two hundred thirty million, ninety thousand, four hundred".