225701190 has 288 divisors, whose sum is σ = 739964160. Its totient is φ = 47174400.

The previous prime is 225701141. The next prime is 225701207. The reversal of 225701190 is 91107522.

225701190 is a `hidden beast` number, since 2 + 2 + 570 + 1 + 1 + 90 = 666.

It is a super-2 number, since 2×225701190² = 101882054334832200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3178855 + ... + 3178925.

It is an arithmetic number, because the mean of its divisors is an integer number (2569320).

Almost surely, 2^225701190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225701190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369982080).

225701190 is an abundant number, since it is smaller than the sum of its proper divisors (514262970).

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

225701190 is a wasteful number, since it uses less digits than its factorization.

225701190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 225701190 is about 15023.3548184152. The cubic root of 225701190 is about 608.8513635009.

The spelling of 225701190 in words is "two hundred twenty-five million, seven hundred one thousand, one hundred ninety".