222227682432 has 256 divisors, whose sum is σ = 679276523520. Its totient is φ = 63057346560.

The previous prime is 222227682419. The next prime is 222227682433. The reversal of 222227682432 is 234286722222.

222227682432 is digitally balanced in base 2, 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 (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (222227682433) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 501642403 + ... + 501642845.

It is an arithmetic number, because the mean of its divisors is an integer number (2653423920).

Almost surely, 2^222227682432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222227682432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339638261760).

222227682432 is an abundant number, since it is smaller than the sum of its proper divisors (457048841088).

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

222227682432 is a wasteful number, since it uses less digits than its factorization.

222227682432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1319 counting only the distinct ones).

The product of its digits is 516096, while the sum is 42.

The spelling of 222227682432 in words is "two hundred twenty-two billion, two hundred twenty-seven million, six hundred eighty-two thousand, four hundred thirty-two".