222133300320 has 96 divisors (see below), whose sum is σ = 700532001792. Its totient is φ = 59166797312.

The previous prime is 222133300303. The next prime is 222133300339. The reversal of 222133300320 is 23003331222.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×222133300320² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 146119 + ... + 682361.

It is an arithmetic number, because the mean of its divisors is an integer number (7297208352).

Almost surely, 2^222133300320 is an apocalyptic number.

222133300320 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 222133300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350266000896).

222133300320 is an abundant number, since it is smaller than the sum of its proper divisors (478398701472).

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

222133300320 is a wasteful number, since it uses less digits than its factorization.

222133300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537124 (or 537116 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 222133300320 its reverse (23003331222), we get a palindrome (245136631542).

The spelling of 222133300320 in words is "two hundred twenty-two billion, one hundred thirty-three million, three hundred thousand, three hundred twenty".