225906094160 has 80 divisors (see below), whose sum is σ = 542377285632. Its totient is φ = 87414835200.

The previous prime is 225906094159. The next prime is 225906094207. The reversal of 225906094160 is 61490609522.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×225906094160² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7243400 + ... + 7274520.

Almost surely, 2^225906094160 is an apocalyptic number.

225906094160 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 225906094160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271188642816).

225906094160 is an abundant number, since it is smaller than the sum of its proper divisors (316471191472).

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

225906094160 is a wasteful number, since it uses less digits than its factorization.

225906094160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34092 (or 34086 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The spelling of 225906094160 in words is "two hundred twenty-five billion, nine hundred six million, ninety-four thousand, one hundred sixty".