220709952 has 168 divisors, whose sum is σ = 667070040. Its totient is φ = 69672960.

The previous prime is 220709941. The next prime is 220709953. The reversal of 220709952 is 259907022.

It can be written as a sum of positive squares in 4 ways, for example, as 2143296 + 218566656 = 1464^2 + 14784^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (220709953) 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 23 ways as a sum of consecutive naturals, for example, 1219302 + ... + 1219482.

It is an arithmetic number, because the mean of its divisors is an integer number (3970655).

Almost surely, 2^220709952 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 220709952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333535020).

220709952 is an abundant number, since it is smaller than the sum of its proper divisors (446360088).

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

220709952 is a wasteful number, since it uses less digits than its factorization.

220709952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 220709952 is about 14856.3101744680. The cubic root of 220709952 is about 604.3297469956.

The spelling of 220709952 in words is "two hundred twenty million, seven hundred nine thousand, nine hundred fifty-two".