225051984 has 120 divisors (see below), whose sum is σ = 672445800. Its totient is φ = 70017024.

The previous prime is 225051917. The next prime is 225051991. The reversal of 225051984 is 489150522.

It can be written as a sum of positive squares in 4 ways, for example, as 51984 + 225000000 = 228^2 + 15000^2 .

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 364444 + ... + 365060.

It is an arithmetic number, because the mean of its divisors is an integer number (5603715).

Almost surely, 2^225051984 is an apocalyptic number.

225051984 is a gapful number since it is divisible by the number (24) 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 225051984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336222900).

225051984 is an abundant number, since it is smaller than the sum of its proper divisors (447393816).

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

225051984 is a wasteful number, since it uses less digits than its factorization.

225051984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 225051984 is about 15001.7326999250. The cubic root of 225051984 is about 608.2670370154.

The spelling of 225051984 in words is "two hundred twenty-five million, fifty-one thousand, nine hundred eighty-four".