222204002400320 has 112 divisors (see below), whose sum is σ = 536821211110320. Its totient is φ = 87590551781376.

The previous prime is 222204002400299. The next prime is 222204002400323. The reversal of 222204002400320 is 23004200402222.

It can be written as a sum of positive squares in 8 ways, for example, as 11262306436096 + 210941695964224 = 3355936^2 + 14523832^2 .

It is a super-2 number, since 2×222204002400320² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (222204002400323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23881826 + ... + 31855134.

Almost surely, 2^{222204002400320} is an apocalyptic number.

222204002400320 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 222204002400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268410605555160).

222204002400320 is an abundant number, since it is smaller than the sum of its proper divisors (314617208710000).

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

222204002400320 is a wasteful number, since it uses less digits than its factorization.

222204002400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7974592 (or 7974582 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

Adding to 222204002400320 its reverse (23004200402222), we get a palindrome (245208202802542).

The spelling of 222204002400320 in words is "two hundred twenty-two trillion, two hundred four billion, two million, four hundred thousand, three hundred twenty".