220962952 has 48 divisors (see below), whose sum is σ = 486806220. Its totient is φ = 93744000.

The previous prime is 220962941. The next prime is 220962953. The reversal of 220962952 is 259269022.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 212401476 + 8561476 = 14574^2 + 2926^2 .

It is not an unprimeable number, because it can be changed into a prime (220962953) 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 11 ways as a sum of consecutive naturals, for example, 36802 + ... + 42382.

Almost surely, 2^220962952 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 220962952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243403110).

220962952 is an abundant number, since it is smaller than the sum of its proper divisors (265843268).

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

220962952 is a wasteful number, since it uses less digits than its factorization.

220962952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5702 (or 5691 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 220962952 is about 14864.8226360088. The cubic root of 220962952 is about 604.5605733817.

The spelling of 220962952 in words is "two hundred twenty million, nine hundred sixty-two thousand, nine hundred fifty-two".