2263299200 has 120 divisors (see below), whose sum is σ = 5790736605. Its totient is φ = 874101760.

The previous prime is 2263299197. The next prime is 2263299211. The reversal of 2263299200 is 29923622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 19571776 + 2243727424 = 4424^2 + 47368^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 78044786 + ... + 78044814.

Almost surely, 2^2263299200 is an apocalyptic number.

2263299200 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 2263299200

2263299200 is an abundant number, since it is smaller than the sum of its proper divisors (3527437405).

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

2263299200 is an frugal number, since it uses more digits than its factorization.

2263299200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 2263299200 is about 47574.1442382309. The cubic root of 2263299200 is about 1312.9473873170.

Multiplying 2263299200 by its product of nonzero digits (23328), we get a square (52798243737600 = 7266240²).

The spelling of 2263299200 in words is "two billion, two hundred sixty-three million, two hundred ninety-nine thousand, two hundred".