222071136800 has 54 divisors (see below), whose sum is σ = 542163703599. Its totient is φ = 88823123200.

The previous prime is 222071136769. The next prime is 222071136841. The reversal of 222071136800 is 8631170222.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

222071136800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 77789672464 + 144281464336 = 278908^2 + 379844^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=333220.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13320470 + ... + 13337130.

Almost surely, 2^222071136800 is an apocalyptic number.

222071136800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222071136800 is an abundant number, since it is smaller than the sum of its proper divisors (320092566799).

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

222071136800 is an frugal number, since it uses more digits than its factorization.

222071136800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33342 (or 16668 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

Multiplying 222071136800 by its sum of digits (32), we get a square (7106276377600 = 2665760²).

222071136800 divided by its sum of digits (32) gives a square (6939723025 = 83305²).

The spelling of 222071136800 in words is "two hundred twenty-two billion, seventy-one million, one hundred thirty-six thousand, eight hundred".