22034199283600 has 135 divisors (see below), whose sum is σ = 61581802701267. Its totient is φ = 7554357296640.

The previous prime is 22034199283589. The next prime is 22034199283627. The reversal of 22034199283600 is 638299143022.

The square root of 22034199283600 is 4694060.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12878618256 + 22021320665344 = 113484^2 + 4692688^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 657151636 + ... + 657185164.

Almost surely, 2^{22034199283600} is an apocalyptic number.

22034199283600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22034199283600 is the 4694060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22034199283600

22034199283600 is an abundant number, since it is smaller than the sum of its proper divisors (39547603417667).

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

22034199283600 is an frugal number, since it uses more digits than its factorization.

22034199283600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67090 (or 33543 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

22034199283600 divided by its sum of digits (49) gives a square (449677536400 = 670580²).

The spelling of 22034199283600 in words is "twenty-two trillion, thirty-four billion, one hundred ninety-nine million, two hundred eighty-three thousand, six hundred".