4422572100 has 216 divisors, whose sum is σ = 14768070408. Its totient is φ = 1103155200.

The previous prime is 4422572081. The next prime is 4422572129. The reversal of 4422572100 is 12752244.

4422572100 is a `hidden beast` number, since 442 + 2 + 5 + 7 + 210 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2660083776 + 1762488324 = 51576^2 + 41982^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2768502 + ... + 2770098.

Almost surely, 2^4422572100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4422572100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7384035204).

4422572100 is an abundant number, since it is smaller than the sum of its proper divisors (10345498308).

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

4422572100 is a wasteful number, since it uses less digits than its factorization.

4422572100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 4422572100 is about 66502.4217604141. The cubic root of 4422572100 is about 1641.4398543732.

The spelling of 4422572100 in words is "four billion, four hundred twenty-two million, five hundred seventy-two thousand, one hundred".