22472424100 has 216 divisors, whose sum is σ = 60313717800. Its totient is φ = 7221473280.

The previous prime is 22472424077. The next prime is 22472424127. The reversal of 22472424100 is 142427422.

It can be written as a sum of positive squares in 12 ways, for example, as 5749278976 + 16723145124 = 75824^2 + 129318^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29071314 + ... + 29072086.

It is an arithmetic number, because the mean of its divisors is an integer number (279230175).

Almost surely, 2^22472424100 is an apocalyptic number.

22472424100 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 22472424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30156858900).

22472424100 is an abundant number, since it is smaller than the sum of its proper divisors (37841293700).

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

22472424100 is a wasteful number, since it uses less digits than its factorization.

22472424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 28.

The spelling of 22472424100 in words is "twenty-two billion, four hundred seventy-two million, four hundred twenty-four thousand, one hundred".