222772032 has 210 divisors, whose sum is σ = 769056882. Its totient is φ = 63576576.

The previous prime is 222772019. The next prime is 222772049. The reversal of 222772032 is 230277222.

222772032 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 only one way, i.e., 213627456 + 9144576 = 14616^2 + 3024^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 222771987 and 222772005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 253578 + ... + 254454.

Almost surely, 2^222772032 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 222772032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384528441).

222772032 is an abundant number, since it is smaller than the sum of its proper divisors (546284850).

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

222772032 is an equidigital number, since it uses as much as digits as its factorization.

222772032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 222772032 is about 14925.5496381205. The cubic root of 222772032 is about 606.2059882033.

The spelling of 222772032 in words is "two hundred twenty-two million, seven hundred seventy-two thousand, thirty-two".