220242672 has 80 divisors (see below), whose sum is σ = 680824480. Its totient is φ = 67765248.

The previous prime is 220242629. The next prime is 220242677. The reversal of 220242672 is 276242022.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220242677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13993 + ... + 25224.

It is an arithmetic number, because the mean of its divisors is an integer number (8510306).

Almost surely, 2^220242672 is an apocalyptic number.

It is an amenable number.

220242672 is an abundant number, since it is smaller than the sum of its proper divisors (460581808).

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

220242672 is a wasteful number, since it uses less digits than its factorization.

220242672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39247 (or 39235 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 220242672 is about 14840.5751910093. The cubic root of 220242672 is about 603.9029565009.

Adding to 220242672 its reverse (276242022), we get a palindrome (496484694).

The spelling of 220242672 in words is "two hundred twenty million, two hundred forty-two thousand, six hundred seventy-two".