223214345504100 has 54 divisors (see below), whose sum is σ = 699652965188450. Its totient is φ = 59523825467520.

The previous prime is 223214345504071. The next prime is 223214345504123. The reversal of 223214345504100 is 1405543412322.

It is a happy number.

223214345504100 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 1 + 4 + 3 + 45 + 504 + 100 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 526427136 + 223213819076964 = 22944^2 + 14940342^2 .

It is a super-3 number, since 3×223214345504100³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 124007968825 + ... + 124007970624.

Almost surely, 2^{223214345504100} is an apocalyptic number.

223214345504100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223214345504100 is an abundant number, since it is smaller than the sum of its proper divisors (476438619684350).

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

223214345504100 is a wasteful number, since it uses less digits than its factorization.

223214345504100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248015939469 (or 248015939459 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 223214345504100 its reverse (1405543412322), we get a palindrome (224619888916422).

The spelling of 223214345504100 in words is "two hundred twenty-three trillion, two hundred fourteen billion, three hundred forty-five million, five hundred four thousand, one hundred".