225987210 has 96 divisors (see below), whose sum is σ = 612997632. Its totient is φ = 57697920.

The previous prime is 225987191. The next prime is 225987211. The reversal of 225987210 is 12789522.

It is not an unprimeable number, because it can be changed into a prime (225987211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 298152 + ... + 298908.

It is an arithmetic number, because the mean of its divisors is an integer number (6385392).

Almost surely, 2^225987210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225987210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306498816).

225987210 is an abundant number, since it is smaller than the sum of its proper divisors (387010422).

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

225987210 is a wasteful number, since it uses less digits than its factorization.

225987210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 225987210 is about 15032.8709832819. The cubic root of 225987210 is about 609.1084440499.

The spelling of 225987210 in words is "two hundred twenty-five million, nine hundred eighty-seven thousand, two hundred ten".