220429083072 has 224 divisors, whose sum is σ = 670844805120. Its totient is φ = 63175265280.

The previous prime is 220429083041. The next prime is 220429083107. The reversal of 220429083072 is 270380924022.

It is a self number, because there is not a number n which added to its sum of digits gives 220429083072.

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, 25798033 + ... + 25806575.

It is an arithmetic number, because the mean of its divisors is an integer number (2994842880).

Almost surely, 2^220429083072 is an apocalyptic number.

220429083072 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 220429083072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335422402560).

220429083072 is an abundant number, since it is smaller than the sum of its proper divisors (450415722048).

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

220429083072 is a wasteful number, since it uses less digits than its factorization.

220429083072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9231 (or 9221 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 220429083072 in words is "two hundred twenty billion, four hundred twenty-nine million, eighty-three thousand, seventy-two".