225087768 has 64 divisors (see below), whose sum is σ = 631152000. Its totient is φ = 74320416.

The previous prime is 225087749. The next prime is 225087839. The reversal of 225087768 is 867780522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18243 + ... + 27981.

It is an arithmetic number, because the mean of its divisors is an integer number (9861750).

Almost surely, 2^225087768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225087768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315576000).

225087768 is an abundant number, since it is smaller than the sum of its proper divisors (406064232).

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

225087768 is a wasteful number, since it uses less digits than its factorization.

225087768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9861 (or 9851 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 225087768 is about 15002.9253147511. The cubic root of 225087768 is about 608.2992741216.

It can be divided in two parts, 22508 and 7768, that added together give a square (30276 = 174²).

The spelling of 225087768 in words is "two hundred twenty-five million, eighty-seven thousand, seven hundred sixty-eight".