222124032 has 240 divisors, whose sum is σ = 721440720. Its totient is φ = 67682304.

The previous prime is 222124031. The next prime is 222124081. The reversal of 222124032 is 230421222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 222123996 and 222124014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222124031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2156493 + ... + 2156595.

It is an arithmetic number, because the mean of its divisors is an integer number (3006003).

Almost surely, 2^222124032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222124032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360720360).

222124032 is an abundant number, since it is smaller than the sum of its proper divisors (499316688).

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

222124032 is a wasteful number, since it uses less digits than its factorization.

222124032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 222124032 is about 14903.8260859418. The cubic root of 222124032 is about 605.6176393972.

Adding to 222124032 its reverse (230421222), we get a palindrome (452545254).

It can be divided in two parts, 22212 and 4032, that added together give a square (26244 = 162²).

The spelling of 222124032 in words is "two hundred twenty-two million, one hundred twenty-four thousand, thirty-two".