220732288 has 64 divisors (see below), whose sum is σ = 524459520. Its totient is φ = 90478080.

The previous prime is 220732283. The next prime is 220732297. The reversal of 220732288 is 882237022.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220732283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15253 + ... + 25963.

It is an arithmetic number, because the mean of its divisors is an integer number (8194680).

Almost surely, 2^220732288 is an apocalyptic number.

220732288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220732288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262229760).

220732288 is an abundant number, since it is smaller than the sum of its proper divisors (303727232).

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

220732288 is a wasteful number, since it uses less digits than its factorization.

220732288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10755 (or 10743 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 220732288 is about 14857.0618898893. The cubic root of 220732288 is about 604.3501325042.

The spelling of 220732288 in words is "two hundred twenty million, seven hundred thirty-two thousand, two hundred eighty-eight".