2245152 has 96 divisors (see below), whose sum is σ = 7281792. Its totient is φ = 589824.

The previous prime is 2245147. The next prime is 2245153. The reversal of 2245152 is 2515422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 (2245153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8608 + ... + 8864.

It is an arithmetic number, because the mean of its divisors is an integer number (75852).

2^2245152 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 2245152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3640896).

2245152 is an abundant number, since it is smaller than the sum of its proper divisors (5036640).

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

2245152 is a wasteful number, since it uses less digits than its factorization.

2245152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 282 counting only the distinct ones).

The product of its digits is 800, while the sum is 21.

The square root of 2245152 is about 1498.3831285756. The cubic root of 2245152 is about 130.9428882994.

The spelling of 2245152 in words is "two million, two hundred forty-five thousand, one hundred fifty-two".