2245200 has 60 divisors (see below), whose sum is σ = 7195968. Its totient is φ = 598400.

The previous prime is 2245189. The next prime is 2245223. The reversal of 2245200 is 25422.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2245200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 265 + ... + 2135.

2^2245200 is an apocalyptic number.

2245200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3597984).

2245200 is an abundant number, since it is smaller than the sum of its proper divisors (4950768).

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

2245200 is a wasteful number, since it uses less digits than its factorization.

2245200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 2245200 is about 1498.3991457552. The cubic root of 2245200 is about 130.9438214529.

The spelling of 2245200 in words is "two million, two hundred forty-five thousand, two hundred".