213282225 has 108 divisors (see below), whose sum is σ = 424794240. Its totient is φ = 102211200.

The previous prime is 213282191. The next prime is 213282241. The reversal of 213282225 is 522282312.

It is not a de Polignac number, because 213282225 - 2⁶ = 213282161 is a prime.

Its product of digits (3840) is a multiple of the sum of its prime factors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2699736 + ... + 2699814.

It is an arithmetic number, because the mean of its divisors is an integer number (3933280).

Almost surely, 2^213282225 is an apocalyptic number.

213282225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213282225 is a deficient number, since it is larger than the sum of its proper divisors (211512015).

213282225 is a wasteful number, since it uses less digits than its factorization.

213282225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 171 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 213282225 is about 14604.1851878152. The cubic root of 213282225 is about 597.4729129951.

The spelling of 213282225 in words is "two hundred thirteen million, two hundred eighty-two thousand, two hundred twenty-five".