22515510100 has 72 divisors (see below), whose sum is σ = 51909724440. Its totient is φ = 8460587520.

The previous prime is 22515510097. The next prime is 22515510163. The reversal of 22515510100 is 101551522.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 28708164 + 22486801936 = 5358^2 + 149956^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2382 + ... + 212218.

It is an arithmetic number, because the mean of its divisors is an integer number (720968395).

Almost surely, 2^22515510100 is an apocalyptic number.

22515510100 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 22515510100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25954862220).

22515510100 is an abundant number, since it is smaller than the sum of its proper divisors (29394214340).

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

22515510100 is a wasteful number, since it uses less digits than its factorization.

22515510100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209917 (or 209910 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 22.

The spelling of 22515510100 in words is "twenty-two billion, five hundred fifteen million, five hundred ten thousand, one hundred".