220133 has 8 divisors (see below), whose sum is σ = 243648. Its totient is φ = 197824.

The previous prime is 220123. The next prime is 220141. The reversal of 220133 is 331022.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 220133 - 2¹² = 216037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110 + ... + 672.

It is an arithmetic number, because the mean of its divisors is an integer number (30456).

2²²⁰¹³³ is an apocalyptic number.

220133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

220133 is a deficient number, since it is larger than the sum of its proper divisors (23515).

220133 is a wasteful number, since it uses less digits than its factorization.

220133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603.

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 220133 is about 469.1833330373. The cubic root of 220133 is about 60.3802700057.

Adding to 220133 its reverse (331022), we get a palindrome (551155).

Subtracting 220133 from its reverse (331022), we obtain a square (110889 = 333²).

It can be divided in two parts, 220 and 133, that added together give a palindrome (353).

The spelling of 220133 in words is "two hundred twenty thousand, one hundred thirty-three".