225990144 has 60 divisors (see below), whose sum is σ = 652236156. Its totient is φ = 75328512.

The previous prime is 225990139. The next prime is 225990151. The reversal of 225990144 is 441099522.

225990144 is a `hidden beast` number, since 22 + 599 + 0 + 1 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 225990099 and 225990108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19914 + ... + 29129.

Almost surely, 2^225990144 is an apocalyptic number.

225990144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225990144 is an abundant number, since it is smaller than the sum of its proper divisors (426246012).

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

225990144 is an equidigital number, since it uses as much as digits as its factorization.

225990144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49067 (or 49048 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 225990144 is about 15032.9685691150. The cubic root of 225990144 is about 609.1110800640. Note that the first 3 decimals are identical.

The spelling of 225990144 in words is "two hundred twenty-five million, nine hundred ninety thousand, one hundred forty-four".