223444214100 has 216 divisors, whose sum is σ = 767144883960. Its totient is φ = 54146211840.

The previous prime is 223444214087. The next prime is 223444214111. The reversal of 223444214100 is 1412444322.

223444214100 is a `hidden beast` number, since 2 + 2 + 3 + 444 + 214 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 78936273936 + 144507940164 = 280956^2 + 380142^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 191904 + ... + 695496.

It is an arithmetic number, because the mean of its divisors is an integer number (3551596685).

Almost surely, 2^223444214100 is an apocalyptic number.

223444214100 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 223444214100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383572441980).

223444214100 is an abundant number, since it is smaller than the sum of its proper divisors (543700669860).

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

223444214100 is a wasteful number, since it uses less digits than its factorization.

223444214100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503659 (or 503649 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 223444214100 its reverse (1412444322), we get a palindrome (224856658422).

The spelling of 223444214100 in words is "two hundred twenty-three billion, four hundred forty-four million, two hundred fourteen thousand, one hundred".