222116832 has 144 divisors (see below), whose sum is σ = 764461152. Its totient is φ = 59719680.

The previous prime is 222116827. The next prime is 222116863. The reversal of 222116832 is 238611222.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 222116796 and 222116805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31032 + ... + 37512.

It is an arithmetic number, because the mean of its divisors is an integer number (5308758).

Almost surely, 2^222116832 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 222116832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382230576).

222116832 is an abundant number, since it is smaller than the sum of its proper divisors (542344320).

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

222116832 is a wasteful number, since it uses less digits than its factorization.

222116832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6521 (or 6510 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 222116832 is about 14903.5845352720. The cubic root of 222116832 is about 605.6110957646.

The spelling of 222116832 in words is "two hundred twenty-two million, one hundred sixteen thousand, eight hundred thirty-two".