220172040 has 256 divisors, whose sum is σ = 821145600. Its totient is φ = 52012800.

The previous prime is 220172039. The next prime is 220172059. The reversal of 220172040 is 40271022.

220172040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 510625 + ... + 511055.

It is an arithmetic number, because the mean of its divisors is an integer number (3207600).

Almost surely, 2^220172040 is an apocalyptic number.

220172040 is a gapful number since it is divisible by the number (20) 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 220172040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410572800).

220172040 is an abundant number, since it is smaller than the sum of its proper divisors (600973560).

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

220172040 is a wasteful number, since it uses less digits than its factorization.

220172040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 220172040 is about 14838.1953080555. The cubic root of 220172040 is about 603.8383922124.

The spelling of 220172040 in words is "two hundred twenty million, one hundred seventy-two thousand, forty".