220332033 has 12 divisors (see below), whose sum is σ = 321075300. Its totient is φ = 145587456.

The previous prime is 220332017. The next prime is 220332041. The reversal of 220332033 is 330233022.

It can be written as a sum of positive squares in 2 ways, for example, as 8105409 + 212226624 = 2847^2 + 14568^2 .

It is not a de Polignac number, because 220332033 - 2⁴ = 220332017 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 220331997 and 220332015.

It is not an unprimeable number, because it can be changed into a prime (220333033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107308 + ... + 109341.

It is an arithmetic number, because the mean of its divisors is an integer number (26756275).

It is a Proth number, since it is equal to 1681 ⋅ 2¹⁷ + 1 and 1681 < 2¹⁷.

Almost surely, 2^220332033 is an apocalyptic number.

It is an amenable number.

220332033 is a deficient number, since it is larger than the sum of its proper divisors (100743267).

220332033 is a wasteful number, since it uses less digits than its factorization.

220332033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216768 (or 216765 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 220332033 is about 14843.5855843526. The cubic root of 220332033 is about 603.9846210797.

Adding to 220332033 its reverse (330233022), we get a palindrome (550565055).

The spelling of 220332033 in words is "two hundred twenty million, three hundred thirty-two thousand, thirty-three".