225640350 has 288 divisors, whose sum is σ = 718882560. Its totient is φ = 51891840.

The previous prime is 225640309. The next prime is 225640369. The reversal of 225640350 is 53046522.

225640350 is a `hidden beast` number, since 2 + 256 + 403 + 5 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5247429 + ... + 5247471.

It is an arithmetic number, because the mean of its divisors is an integer number (2496120).

Almost surely, 2^225640350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225640350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359441280).

225640350 is an abundant number, since it is smaller than the sum of its proper divisors (493242210).

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

225640350 is a wasteful number, since it uses less digits than its factorization.

225640350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 225640350 is about 15021.3298346052. The cubic root of 225640350 is about 608.7966512715.

Adding to 225640350 its reverse (53046522), we get a palindrome (278686872).

The spelling of 225640350 in words is "two hundred twenty-five million, six hundred forty thousand, three hundred fifty".