223070056380900 has 81 divisors (see below), whose sum is σ = 699202103385513. Its totient is φ = 59485228884000.

The previous prime is 223070056380833. The next prime is 223070056380911. The reversal of 223070056380900 is 9083650070322.

The square root of 223070056380900 is 14935530.

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

223070056380900 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 7 + 0 + 0 + 5 + 638 + 0 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 80305220297124 + 142764836083776 = 8961318^2 + 11948424^2 .

It is a super-3 number, since 3×223070056380900³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 447816975 + ... + 448314825.

Almost surely, 2^{223070056380900} is an apocalyptic number.

223070056380900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

223070056380900 is the 14935530-th square number.

It is an amenable number.

223070056380900 is an abundant number, since it is smaller than the sum of its proper divisors (476132047004613).

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

223070056380900 is an frugal number, since it uses more digits than its factorization.

223070056380900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995722 (or 497861 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 223070056380900 in words is "two hundred twenty-three trillion, seventy billion, fifty-six million, three hundred eighty thousand, nine hundred".