22242070822500 has 405 divisors, whose sum is σ = 73497472038991. Its totient is φ = 5669189592000.

The previous prime is 22242070822457. The next prime is 22242070822547. The reversal of 22242070822500 is 522807024222.

The square root of 22242070822500 is 4716150.

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

22242070822500 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 2 + 0 + 70 + 82 + 2 + 500 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1743778352484 + 20498292470016 = 1320522^2 + 4527504^2 .

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 134 ways as a sum of consecutive naturals, for example, 16270716817 + ... + 16270718183.

Almost surely, 2^{22242070822500} is an apocalyptic number.

22242070822500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22242070822500 is the 4716150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22242070822500

22242070822500 is an abundant number, since it is smaller than the sum of its proper divisors (51255401216491).

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

22242070822500 is an equidigital number, since it uses as much as digits as its factorization.

22242070822500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

Multiplying 22242070822500 by its sum of digits (36), we get a square (800714549610000 = 28296900²).

22242070822500 divided by its sum of digits (36) gives a square (617835300625 = 786025²).

Adding to 22242070822500 its reverse (522807024222), we get a palindrome (22764877846722).

The spelling of 22242070822500 in words is "twenty-two trillion, two hundred forty-two billion, seventy million, eight hundred twenty-two thousand, five hundred".