225156734208 has 1080 divisors, whose sum is σ = 837389599200. Its totient is φ = 59821203456.

The previous prime is 225156734177. The next prime is 225156734213. The reversal of 225156734208 is 802437651522.

225156734208 is a `hidden beast` number, since 2 + 2 + 5 + 156 + 73 + 420 + 8 = 666.

It is a super-3 number, since 3×225156734208³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2065658058 + ... + 2065658166.

It is an arithmetic number, because the mean of its divisors is an integer number (775360740).

Almost surely, 2^225156734208 is an apocalyptic number.

225156734208 is a gapful number since it is divisible by the number (28) 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 225156734208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418694799600).

225156734208 is an abundant number, since it is smaller than the sum of its proper divisors (612232864992).

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

225156734208 is a wasteful number, since it uses less digits than its factorization.

225156734208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 225156734208 in words is "two hundred twenty-five billion, one hundred fifty-six million, seven hundred thirty-four thousand, two hundred eight".