222533326400 has 504 divisors, whose sum is σ = 710180878848. Its totient is φ = 67110912000.

The previous prime is 222533326381. The next prime is 222533326409. The reversal of 222533326400 is 4623335222.

222533326400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (222533326409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42008552 + ... + 42013848.

Almost surely, 2^222533326400 is an apocalyptic number.

222533326400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222533326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355090439424).

222533326400 is an abundant number, since it is smaller than the sum of its proper divisors (487647552448).

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

222533326400 is a wasteful number, since it uses less digits than its factorization.

222533326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5379 (or 5353 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 32.

The spelling of 222533326400 in words is "two hundred twenty-two billion, five hundred thirty-three million, three hundred twenty-six thousand, four hundred".