225209626224 has 160 divisors (see below), whose sum is σ = 687645345024. Its totient is φ = 62737059840.

The previous prime is 225209626177. The next prime is 225209626261. The reversal of 225209626224 is 422626902522.

225209626224 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-3 number, since 3×225209626224³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94222 + ... + 677714.

Almost surely, 2^225209626224 is an apocalyptic number.

225209626224 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 225209626224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343822672512).

225209626224 is an abundant number, since it is smaller than the sum of its proper divisors (462435718800).

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

225209626224 is a wasteful number, since it uses less digits than its factorization.

225209626224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583575 (or 583569 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 225209626224 in words is "two hundred twenty-five billion, two hundred nine million, six hundred twenty-six thousand, two hundred twenty-four".