220400523 has 24 divisors (see below), whose sum is σ = 364503776. Its totient is φ = 125712000.

The previous prime is 220400471. The next prime is 220400539. The reversal of 220400523 is 325004022.

It is not a de Polignac number, because 220400523 - 2⁸ = 220400267 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220400496 and 220400505.

It is not an unprimeable number, because it can be changed into a prime (220400123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34953 + ... + 40773.

Almost surely, 2^220400523 is an apocalyptic number.

220400523 is a deficient number, since it is larger than the sum of its proper divisors (144103253).

220400523 is a wasteful number, since it uses less digits than its factorization.

220400523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6435 (or 6432 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 220400523 is about 14845.8924622267. The cubic root of 220400523 is about 604.0471972753.

Adding to 220400523 its reverse (325004022), we get a palindrome (545404545).

The spelling of 220400523 in words is "two hundred twenty million, four hundred thousand, five hundred twenty-three".