10225884192 has 96 divisors (see below), whose sum is σ = 28043366400. Its totient is φ = 3258850560.

The previous prime is 10225884181. The next prime is 10225884197. The reversal of 10225884192 is 29148852201.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (10225884197) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 226309 + ... + 267707.

It is an arithmetic number, because the mean of its divisors is an integer number (292118400).

Almost surely, 2^10225884192 is an apocalyptic number.

10225884192 is a gapful number since it is divisible by the number (12) 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 10225884192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14021683200).

10225884192 is an abundant number, since it is smaller than the sum of its proper divisors (17817482208).

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

10225884192 is a wasteful number, since it uses less digits than its factorization.

10225884192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41526 (or 41518 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 10225884192 in words is "ten billion, two hundred twenty-five million, eight hundred eighty-four thousand, one hundred ninety-two".