2263300 has 36 divisors (see below), whose sum is σ = 5292196. Its totient is φ = 835200.

The previous prime is 2263273. The next prime is 2263307. The reversal of 2263300 is 33622.

2263300 = T₃₂₁ + T₃₂₂ + ... + T₃₅₉.

It can be written as a sum of positive squares in 6 ways, for example, as 968256 + 1295044 = 984^2 + 1138^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 430 + ... + 2170.

2^2263300 is an apocalyptic number.

2263300 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 2263300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646098).

2263300 is an abundant number, since it is smaller than the sum of its proper divisors (3028896).

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

2263300 is a wasteful number, since it uses less digits than its factorization.

2263300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2263300 is about 1504.4268011439. The cubic root of 2263300 is about 131.2947542011.

Adding to 2263300 its reverse (33622), we get a palindrome (2296922).

The spelling of 2263300 in words is "two million, two hundred sixty-three thousand, three hundred".