223312313010400 has 72 divisors (see below), whose sum is σ = 559895270268600. Its totient is φ = 86910738024960.

The previous prime is 223312313010383. The next prime is 223312313010491. The reversal of 223312313010400 is 4010313213322.

It is a super-2 number, since 2×223312313010400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3772137850 + ... + 3772197049.

It is an arithmetic number, because the mean of its divisors is an integer number (7776323198175).

Almost surely, 2^{223312313010400} is an apocalyptic number.

223312313010400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223312313010400 is an abundant number, since it is smaller than the sum of its proper divisors (336582957258200).

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

223312313010400 is a wasteful number, since it uses less digits than its factorization.

223312313010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7544334956 (or 7544334943 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 223312313010400 its reverse (4010313213322), we get a palindrome (227322626223722).

The spelling of 223312313010400 in words is "two hundred twenty-three trillion, three hundred twelve billion, three hundred thirteen million, ten thousand, four hundred".