220208352 has 216 divisors, whose sum is σ = 730754136. Its totient is φ = 57867264.

The previous prime is 220208341. The next prime is 220208363. The reversal of 220208352 is 253802022.

It is an interprime number because it is at equal distance from previous prime (220208341) and next prime (220208363).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 794838 + ... + 795114.

It is an arithmetic number, because the mean of its divisors is an integer number (3383121).

Almost surely, 2^220208352 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 220208352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365377068).

220208352 is an abundant number, since it is smaller than the sum of its proper divisors (510545784).

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

220208352 is a wasteful number, since it uses less digits than its factorization.

220208352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 220208352 is about 14839.4188565456. The cubic root of 220208352 is about 603.8715865187.

The spelling of 220208352 in words is "two hundred twenty million, two hundred eight thousand, three hundred fifty-two".