223220113345200 has 120 divisors (see below), whose sum is σ = 721731125769408. Its totient is φ = 58969051715840.

The previous prime is 223220113345199. The next prime is 223220113345213. The reversal of 223220113345200 is 2543311022322.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×223220113345200³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 869108802 + ... + 869365601.

Almost surely, 2^{223220113345200} is an apocalyptic number.

223220113345200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223220113345200 is an abundant number, since it is smaller than the sum of its proper divisors (498511012424208).

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

223220113345200 is a wasteful number, since it uses less digits than its factorization.

223220113345200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738474531 (or 1738474520 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 223220113345200 its reverse (2543311022322), we get a palindrome (225763424367522).

The spelling of 223220113345200 in words is "two hundred twenty-three trillion, two hundred twenty billion, one hundred thirteen million, three hundred forty-five thousand, two hundred".