22232046160400 has 120 divisors (see below), whose sum is σ = 56967210371880. Its totient is φ = 8308618362880.

The previous prime is 22232046160343. The next prime is 22232046160409. The reversal of 22232046160400 is 406164023222.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 7628887057936 + 14603159102464 = 2762044^2 + 3821408^2 .

It is not an unprimeable number, because it can be changed into a prime (22232046160409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11000585 + ... + 12863784.

It is an arithmetic number, because the mean of its divisors is an integer number (474726753099).

Almost surely, 2^{22232046160400} is an apocalyptic number.

22232046160400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22232046160400 is an abundant number, since it is smaller than the sum of its proper divisors (34735164211480).

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

22232046160400 is a wasteful number, since it uses less digits than its factorization.

22232046160400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23864541 (or 23864530 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The spelling of 22232046160400 in words is "twenty-two trillion, two hundred thirty-two billion, forty-six million, one hundred sixty thousand, four hundred".