2266200 has 72 divisors (see below), whose sum is σ = 7616700. Its totient is φ = 603840.

The previous prime is 2266183. The next prime is 2266217. The reversal of 2266200 is 26622.

2266200 is a `hidden beast` number, since 2 + 2 + 662 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2266183) and next prime (2266217).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1171 + ... + 2429.

2^2266200 is an apocalyptic number.

2266200 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 2266200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3808350).

2266200 is an abundant number, since it is smaller than the sum of its proper divisors (5350500).

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

2266200 is a wasteful number, since it uses less digits than its factorization.

2266200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2266200 is about 1505.3903148353. The cubic root of 2266200 is about 131.3508069089.

The spelling of 2266200 in words is "two million, two hundred sixty-six thousand, two hundred".