223132213100 has 144 divisors (see below), whose sum is σ = 527166009216. Its totient is φ = 81644544000.

The previous prime is 223132213099. The next prime is 223132213127. The reversal of 223132213100 is 1312231322.

It is a super-3 number, since 3×223132213100³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18882794 + ... + 18894606.

It is an arithmetic number, because the mean of its divisors is an integer number (3660875064).

Almost surely, 2^223132213100 is an apocalyptic number.

223132213100 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 223132213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263583004608).

223132213100 is an abundant number, since it is smaller than the sum of its proper divisors (304033796116).

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

223132213100 is a wasteful number, since it uses less digits than its factorization.

223132213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12156 (or 12149 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 223132213100 its reverse (1312231322), we get a palindrome (224444444422).

It can be divided in two parts, 2231322 and 13100, that added together give a palindrome (2244422).

The spelling of 223132213100 in words is "two hundred twenty-three billion, one hundred thirty-two million, two hundred thirteen thousand, one hundred".