2263100 has 72 divisors (see below), whose sum is σ = 5812128. Its totient is φ = 748800.

The previous prime is 2263099. The next prime is 2263117. The reversal of 2263100 is 13622.

It is a super-2 number, since 2×2263100² = 10243243220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37070 + ... + 37130.

It is an arithmetic number, because the mean of its divisors is an integer number (80724).

2^2263100 is an apocalyptic number.

2263100 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 2263100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906064).

2263100 is an abundant number, since it is smaller than the sum of its proper divisors (3549028).

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

2263100 is a wasteful number, since it uses less digits than its factorization.

2263100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2263100 is about 1504.3603291765. The cubic root of 2263100 is about 131.2908867326.

Adding to 2263100 its reverse (13622), we get a palindrome (2276722).

The spelling of 2263100 in words is "two million, two hundred sixty-three thousand, one hundred".