232222120 has 64 divisors (see below), whose sum is σ = 571994640. Its totient is φ = 84326400.

The previous prime is 232222103. The next prime is 232222127. The reversal of 232222120 is 21222232.

It can be written as a sum of positive squares in 8 ways, for example, as 6441444 + 225780676 = 2538^2 + 15026^2 .

It is a super-2 number, since 2×232222120² = 107854226034588800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232222094 and 232222103.

It is not an unprimeable number, because it can be changed into a prime (232222127) by changing a digit.

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, 28060 + ... + 35380.

Almost surely, 2^232222120 is an apocalyptic number.

232222120 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 232222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285997320).

232222120 is an abundant number, since it is smaller than the sum of its proper divisors (339772520).

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

232222120 is a wasteful number, since it uses less digits than its factorization.

232222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7406 (or 7402 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 232222120 is about 15238.8359135467. The cubic root of 232222120 is about 614.6594011550.

Adding to 232222120 its reverse (21222232), we get a palindrome (253444352).

It can be divided in two parts, 2322 and 22120, that added together give a palindrome (24442).

The spelling of 232222120 in words is "two hundred thirty-two million, two hundred twenty-two thousand, one hundred twenty".