225022500 has 180 divisors, whose sum is σ = 725777052. Its totient is φ = 58752000.

The previous prime is 225022481. The next prime is 225022507. The reversal of 225022500 is 5220522.

It can be written as a sum of positive squares in 10 ways, for example, as 157552704 + 67469796 = 12552^2 + 8214^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225022507) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1642432 + ... + 1642568.

Almost surely, 2^225022500 is an apocalyptic number.

225022500 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 225022500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362888526).

225022500 is an abundant number, since it is smaller than the sum of its proper divisors (500754552).

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

225022500 is a wasteful number, since it uses less digits than its factorization.

225022500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 225022500 is about 15000.7499812509. The cubic root of 225022500 is about 608.2404728882.

It can be divided in two parts, 225022 and 500, that added together give a palindrome (225522).

The spelling of 225022500 in words is "two hundred twenty-five million, twenty-two thousand, five hundred".