220280832 has 288 divisors, whose sum is σ = 728254800. Its totient is φ = 63700992.

The previous prime is 220280783. The next prime is 220280833. The reversal of 220280832 is 238082022.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×220280832² = 97047289893224448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220280796 and 220280805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220280833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5953518 + ... + 5953554.

Almost surely, 2^220280832 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 220280832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364127400).

220280832 is an abundant number, since it is smaller than the sum of its proper divisors (507973968).

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

220280832 is a wasteful number, since it uses less digits than its factorization.

220280832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 220280832 is about 14841.8607997784. The cubic root of 220280832 is about 603.9378325852.

The spelling of 220280832 in words is "two hundred twenty million, two hundred eighty thousand, eight hundred thirty-two".