220133376 has 120 divisors (see below), whose sum is σ = 658017360. Its totient is φ = 73322496.

The previous prime is 220133371. The next prime is 220133377. The reversal of 220133376 is 673331022.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220133371) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165225 + ... + 166551.

It is an arithmetic number, because the mean of its divisors is an integer number (5483478).

Almost surely, 2^220133376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220133376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329008680).

220133376 is an abundant number, since it is smaller than the sum of its proper divisors (437883984).

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

220133376 is an equidigital number, since it uses as much as digits as its factorization.

220133376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 220133376 is about 14836.8923969947. The cubic root of 220133376 is about 603.8030438331.

Adding to 220133376 its reverse (673331022), we get a palindrome (893464398).

The spelling of 220133376 in words is "two hundred twenty million, one hundred thirty-three thousand, three hundred seventy-six".