22323412224100 has 72 divisors (see below), whose sum is σ = 52322899684328. Its totient is φ = 8218032076800.

The previous prime is 22323412224089. The next prime is 22323412224137. The reversal of 22323412224100 is 142221432322.

It can be written as a sum of positive squares in 12 ways, for example, as 17214582710116 + 5108829513984 = 4149046^2 + 2260272^2 .

It is a super-3 number, since 3×22323412224100³ (a number of 41 digits) contains 333 as substring.

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, 25039431 + ... + 25915630.

Almost surely, 2^{22323412224100} is an apocalyptic number.

22323412224100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22323412224100 is an abundant number, since it is smaller than the sum of its proper divisors (29999487460228).

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

22323412224100 is a wasteful number, since it uses less digits than its factorization.

22323412224100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50955425 (or 50955418 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 22323412224100 its reverse (142221432322), we get a palindrome (22465633656422).

The spelling of 22323412224100 in words is "twenty-two trillion, three hundred twenty-three billion, four hundred twelve million, two hundred twenty-four thousand, one hundred".