172228100 has 72 divisors (see below), whose sum is σ = 421848000. Its totient is φ = 60457600.

The previous prime is 172228093. The next prime is 172228151. The reversal of 172228100 is 1822271.

It is a super-2 number, since 2×172228100² = 59325036859220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29201 + ... + 34599.

It is an arithmetic number, because the mean of its divisors is an integer number (5859000).

Almost surely, 2^172228100 is an apocalyptic number.

172228100 is a gapful number since it is divisible by the number (10) 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 172228100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210924000).

172228100 is an abundant number, since it is smaller than the sum of its proper divisors (249619900).

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

172228100 is a wasteful number, since it uses less digits than its factorization.

172228100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5453 (or 5446 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 172228100 is about 13123.5703983329. The cubic root of 172228100 is about 556.3755075966.

The spelling of 172228100 in words is "one hundred seventy-two million, two hundred twenty-eight thousand, one hundred".