220732512 has 192 divisors, whose sum is σ = 778305024. Its totient is φ = 52899840.

The previous prime is 220732483. The next prime is 220732529. The reversal of 220732512 is 215237022.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 94948 + ... + 97244.

It is an arithmetic number, because the mean of its divisors is an integer number (4053672).

Almost surely, 2^220732512 is an apocalyptic number.

220732512 is a gapful number since it is divisible by the number (22) 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 220732512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389152512).

220732512 is an abundant number, since it is smaller than the sum of its proper divisors (557572512).

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

220732512 is a wasteful number, since it uses less digits than its factorization.

220732512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 220732512 is about 14857.0694283900. The cubic root of 220732512 is about 604.3503369365.

Adding to 220732512 its reverse (215237022), we get a palindrome (435969534).

The spelling of 220732512 in words is "two hundred twenty million, seven hundred thirty-two thousand, five hundred twelve".