222275893432320 has 4992 divisors, whose sum is σ = 1044153556992000. Its totient is φ = 42424860672000.

The previous prime is 222275893432319. The next prime is 222275893432357. The reversal of 222275893432320 is 23234398572222.

222275893432320 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 7 + 589 + 3 + 4 + 32 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (4992).

It is a super-2 number, since 2×222275893432320² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1472025784245 + ... + 1472025784395.

It is an arithmetic number, because the mean of its divisors is an integer number (209165376000).

Almost surely, 2^{222275893432320} is an apocalyptic number.

222275893432320 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 222275893432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522076778496000).

222275893432320 is an abundant number, since it is smaller than the sum of its proper divisors (821877663559680).

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

222275893432320 is a wasteful number, since it uses less digits than its factorization.

222275893432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 222275893432320 in words is "two hundred twenty-two trillion, two hundred seventy-five billion, eight hundred ninety-three million, four hundred thirty-two thousand, three hundred twenty".