220377132 has 96 divisors (see below), whose sum is σ = 590869440. Its totient is φ = 70986240.

The previous prime is 220377077. The next prime is 220377139. The reversal of 220377132 is 231773022.

It is a happy number.

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 = 220377096 and 220377105.

It is not an unprimeable number, because it can be changed into a prime (220377139) 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 31 ways as a sum of consecutive naturals, for example, 695038 + ... + 695354.

It is an arithmetic number, because the mean of its divisors is an integer number (6154890).

Almost surely, 2^220377132 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 220377132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295434720).

220377132 is an abundant number, since it is smaller than the sum of its proper divisors (370492308).

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

220377132 is a wasteful number, since it uses less digits than its factorization.

220377132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 220377132 is about 14845.1046476608. The cubic root of 220377132 is about 604.0258274411.

The spelling of 220377132 in words is "two hundred twenty million, three hundred seventy-seven thousand, one hundred thirty-two".