222313120 has 48 divisors (see below), whose sum is σ = 530453448. Its totient is φ = 88038400.

The previous prime is 222313109. The next prime is 222313123. The reversal of 222313120 is 21313222.

222313120 = T₉₁ + T₉₂ + ... + T₁₁₀₀.

222313120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 178382736 + 43930384 = 13356^2 + 6628^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 222313094 and 222313103.

It is not an unprimeable number, because it can be changed into a prime (222313123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9282 + ... + 23038.

Almost surely, 2^222313120 is an apocalyptic number.

222313120 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 222313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265226724).

222313120 is an abundant number, since it is smaller than the sum of its proper divisors (308140328).

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

222313120 is a wasteful number, since it uses less digits than its factorization.

222313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13873 (or 13865 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 222313120 is about 14910.1683424434. The cubic root of 222313120 is about 605.7894391315.

Adding to 222313120 its reverse (21313222), we get a palindrome (243626342).

The spelling of 222313120 in words is "two hundred twenty-two million, three hundred thirteen thousand, one hundred twenty".