220147632 has 100 divisors (see below), whose sum is σ = 654534496. Its totient is φ = 71383680.

The previous prime is 220147621. The next prime is 220147639. The reversal of 220147632 is 236741022.

220147632 is a `hidden beast` number, since 2 + 20 + 1 + 4 + 7 + 632 = 666.

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 = 220147596 and 220147605.

It is not an unprimeable number, because it can be changed into a prime (220147639) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45657 + ... + 50247.

Almost surely, 2^220147632 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 220147632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327267248).

220147632 is an abundant number, since it is smaller than the sum of its proper divisors (434386864).

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

220147632 is a wasteful number, since it uses less digits than its factorization.

220147632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4648 (or 4633 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 220147632 is about 14837.3728132712. The cubic root of 220147632 is about 603.8160777954.

Adding to 220147632 its reverse (236741022), we get a palindrome (456888654).

It can be divided in two parts, 22014 and 7632, that added together give a triangular number (29646 = T₂₄₃).

The spelling of 220147632 in words is "two hundred twenty million, one hundred forty-seven thousand, six hundred thirty-two".