20229372900 has 243 divisors, whose sum is σ = 69858310249. Its totient is φ = 4892712000.

The previous prime is 20229372857. The next prime is 20229372929. The reversal of 20229372900 is 927392202.

It is a happy number.

The square root of 20229372900 is 142230.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7282574244 + 12946798656 = 85338^2 + 113784^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 46935685 + ... + 46936115.

Almost surely, 2^20229372900 is an apocalyptic number.

20229372900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20229372900 is the 142230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20229372900

20229372900 is an abundant number, since it is smaller than the sum of its proper divisors (49628937349).

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

20229372900 is a wasteful number, since it uses less digits than its factorization.

20229372900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Multiplying 20229372900 by its sum of digits (36), we get a square (728257424400 = 853380²).

20229372900 divided by its sum of digits (36) gives a square (561927025 = 23705²).

It can be divided in two parts, 20229 and 372900, that added together give a square (393129 = 627²).

The spelling of 20229372900 in words is "twenty billion, two hundred twenty-nine million, three hundred seventy-two thousand, nine hundred".