225291780 has 120 divisors (see below), whose sum is σ = 807753408. Its totient is φ = 51492672.

The previous prime is 225291763. The next prime is 225291793. The reversal of 225291780 is 87192522.

225291780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×225291780² = 101512772271136800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1407 + ... + 21273.

Almost surely, 2^225291780 is an apocalyptic number.

225291780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225291780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403876704).

225291780 is an abundant number, since it is smaller than the sum of its proper divisors (582461628).

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

225291780 is a wasteful number, since it uses less digits than its factorization.

225291780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19895 (or 19884 counting only the distinct ones).

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

The square root of 225291780 is about 15009.7228488737. The cubic root of 225291780 is about 608.4829993087.

The spelling of 225291780 in words is "two hundred twenty-five million, two hundred ninety-one thousand, seven hundred eighty".