222213825630720 has 5760 divisors, whose sum is σ = 1058264541734400. Its totient is φ = 42700048957440.

The previous prime is 222213825630659. The next prime is 222213825630757. The reversal of 222213825630720 is 27036528312222.

222213825630720 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 1 + 3 + 8 + 2 + 5 + 630 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 575 ways as a sum of consecutive naturals, for example, 2290864181712 + ... + 2290864181808.

It is an arithmetic number, because the mean of its divisors is an integer number (183726482940).

Almost surely, 2^{222213825630720} is an apocalyptic number.

222213825630720 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 222213825630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529132270867200).

222213825630720 is an abundant number, since it is smaller than the sum of its proper divisors (836050716103680).

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

222213825630720 is a wasteful number, since it uses less digits than its factorization.

222213825630720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 222213825630720 in words is "two hundred twenty-two trillion, two hundred thirteen billion, eight hundred twenty-five million, six hundred thirty thousand, seven hundred twenty".