222032128 has 54 divisors (see below), whose sum is σ = 453427674. Its totient is φ = 108490752.

The previous prime is 222032117. The next prime is 222032143. The reversal of 222032128 is 821230222.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 76877824 + 145154304 = 8768^2 + 12048^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 222032099 and 222032108.

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 5 ways as a sum of consecutive naturals, for example, 2036938 + ... + 2037046.

Almost surely, 2^222032128 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 222032128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226713837).

222032128 is an abundant number, since it is smaller than the sum of its proper divisors (231395546).

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

222032128 is an frugal number, since it uses more digits than its factorization.

222032128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 222032128 is about 14900.7425318338. The cubic root of 222032128 is about 605.5341029437.

The spelling of 222032128 in words is "two hundred twenty-two million, thirty-two thousand, one hundred twenty-eight".