223152312100 has 81 divisors (see below), whose sum is σ = 490290906483. Its totient is φ = 88159311360.

The previous prime is 223152312083. The next prime is 223152312139. The reversal of 223152312100 is 1213251322.

The square root of 223152312100 is 472390.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8205098724 + 214947213376 = 90582^2 + 463624^2 .

It is a super-3 number, since 3×223152312100³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 458218057 + ... + 458218543.

Almost surely, 2^223152312100 is an apocalyptic number.

223152312100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

223152312100 is the 472390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223152312100

223152312100 is an abundant number, since it is smaller than the sum of its proper divisors (267138594383).

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

223152312100 is an frugal number, since it uses more digits than its factorization.

223152312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 223152312100 its reverse (1213251322), we get a palindrome (224365563422).

The spelling of 223152312100 in words is "two hundred twenty-three billion, one hundred fifty-two million, three hundred twelve thousand, one hundred".