2269200 has 120 divisors (see below), whose sum is σ = 7626496. Its totient is φ = 576000.

The previous prime is 2269181. The next prime is 2269217. The reversal of 2269200 is 29622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 37170 + ... + 37230.

2^2269200 is an apocalyptic number.

2269200 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 2269200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3813248).

2269200 is an abundant number, since it is smaller than the sum of its proper divisors (5357296).

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

2269200 is a wasteful number, since it uses less digits than its factorization.

2269200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2269200 is about 1506.3864046120. The cubic root of 2269200 is about 131.4087421700.

The spelling of 2269200 in words is "two million, two hundred sixty-nine thousand, two hundred".