220133361 has 16 divisors (see below), whose sum is σ = 336290688. Its totient is φ = 125472000.

The previous prime is 220133279. The next prime is 220133369. The reversal of 220133361 is 163331022.

It is not a de Polignac number, because 220133361 - 2¹⁴ = 220116977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (220133369) 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 15 ways as a sum of consecutive naturals, for example, 4650 + ... + 21491.

It is an arithmetic number, because the mean of its divisors is an integer number (21018168).

Almost surely, 2^220133361 is an apocalyptic number.

220133361 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

220133361 is a deficient number, since it is larger than the sum of its proper divisors (116157327).

220133361 is a wasteful number, since it uses less digits than its factorization.

220133361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26552.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 220133361 is about 14836.8918914980. The cubic root of 220133361 is about 603.8030301186.

Adding to 220133361 its reverse (163331022), we get a palindrome (383464383).

The spelling of 220133361 in words is "two hundred twenty million, one hundred thirty-three thousand, three hundred sixty-one".