223020010400 has 72 divisors (see below), whose sum is σ = 593942860224. Its totient is φ = 81098182400.

The previous prime is 223020010351. The next prime is 223020010403. The reversal of 223020010400 is 4010020322.

223020010400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×223020010400² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (223020010403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12662792 + ... + 12680391.

It is an arithmetic number, because the mean of its divisors is an integer number (8249206392).

Almost surely, 2^223020010400 is an apocalyptic number.

223020010400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223020010400 is an abundant number, since it is smaller than the sum of its proper divisors (370922849824).

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

223020010400 is a wasteful number, since it uses less digits than its factorization.

223020010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25343214 (or 25343201 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 223020010400 its reverse (4010020322), we get a palindrome (227030030722).

The spelling of 223020010400 in words is "two hundred twenty-three billion, twenty million, ten thousand, four hundred".