225029880 has 128 divisors (see below), whose sum is σ = 756000000. Its totient is φ = 59536512.

The previous prime is 225029869. The next prime is 225029927. The reversal of 225029880 is 88920522.

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

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 31 ways as a sum of consecutive naturals, for example, 149371 + ... + 150869.

It is an arithmetic number, because the mean of its divisors is an integer number (5906250).

Almost surely, 2^225029880 is an apocalyptic number.

225029880 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 225029880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378000000).

225029880 is an abundant number, since it is smaller than the sum of its proper divisors (530970120).

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

225029880 is a wasteful number, since it uses less digits than its factorization.

225029880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 225029880 is about 15000.9959669350. The cubic root of 225029880 is about 608.2471222464.

The spelling of 225029880 in words is "two hundred twenty-five million, twenty-nine thousand, eight hundred eighty".