223032400020 has 120 divisors (see below), whose sum is σ = 699942335400. Its totient is φ = 59451383808.

The previous prime is 223032400007. The next prime is 223032400027. The reversal of 223032400020 is 20004230322.

223032400020 is a `hidden beast` number, since 2 + 230 + 32 + 400 + 0 + 2 + 0 = 666.

223032400020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7999871364 + 215032528656 = 89442^2 + 463716^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 223032399966 and 223032400002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223032400027) 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 39 ways as a sum of consecutive naturals, for example, 4200196 + ... + 4252964.

It is an arithmetic number, because the mean of its divisors is an integer number (5832852795).

Almost surely, 2^223032400020 is an apocalyptic number.

223032400020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223032400020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349971167700).

223032400020 is an abundant number, since it is smaller than the sum of its proper divisors (476909935380).

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

223032400020 is a wasteful number, since it uses less digits than its factorization.

223032400020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55399 (or 55388 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 223032400020 its reverse (20004230322), we get a palindrome (243036630342).

The spelling of 223032400020 in words is "two hundred twenty-three billion, thirty-two million, four hundred thousand, twenty".