223212100 has 36 divisors (see below), whose sum is σ = 491021524. Its totient is φ = 88058880.

The previous prime is 223212061. The next prime is 223212103. The reversal of 223212100 is 1212322.

223212100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 7474756 + 215737344 = 2734^2 + 14688^2 .

It is a super-3 number, since 3×223212100³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223212103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7989 + ... + 22588.

Almost surely, 2^223212100 is an apocalyptic number.

223212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223212100 is an abundant number, since it is smaller than the sum of its proper divisors (267809424).

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

223212100 is a wasteful number, since it uses less digits than its factorization.

223212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30664 (or 30657 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 223212100 is about 14940.2844685100. The cubic root of 223212100 is about 606.6048958293.

Adding to 223212100 its reverse (1212322), we get a palindrome (224424422).

The spelling of 223212100 in words is "two hundred twenty-three million, two hundred twelve thousand, one hundred".