2217152 has 56 divisors (see below), whose sum is σ = 5181600. Its totient is φ = 940800.

The previous prime is 2217143. The next prime is 2217181. The reversal of 2217152 is 2517122.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×2217152² = 9831525982208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21902 + ... + 22002.

2^2217152 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 2217152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590800).

2217152 is an abundant number, since it is smaller than the sum of its proper divisors (2964448).

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

2217152 is an equidigital number, since it uses as much as digits as its factorization.

2217152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 110 counting only the distinct ones).

The product of its digits is 280, while the sum is 20.

The square root of 2217152 is about 1489.0104096345. The cubic root of 2217152 is about 130.3962662185.

The spelling of 2217152 in words is "two million, two hundred seventeen thousand, one hundred fifty-two".