2213152 has 48 divisors (see below), whose sum is σ = 4741632. Its totient is φ = 1013760.

The previous prime is 2213147. The next prime is 2213171. The reversal of 2213152 is 2513122.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22768 + ... + 22864.

It is an arithmetic number, because the mean of its divisors is an integer number (98784).

2^2213152 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 2213152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370816).

2213152 is an abundant number, since it is smaller than the sum of its proper divisors (2528480).

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

2213152 is a wasteful number, since it uses less digits than its factorization.

2213152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 153 counting only the distinct ones).

The product of its digits is 120, while the sum is 16.

The square root of 2213152 is about 1487.6666293226. Note that the first 4 decimals coincide. The cubic root of 2213152 is about 130.3178023384.

Adding to 2213152 its reverse (2513122), we get a palindrome (4726274).

The spelling of 2213152 in words is "two million, two hundred thirteen thousand, one hundred fifty-two".