2231600 has 60 divisors (see below), whose sum is σ = 6135024. Its totient is φ = 764160.

The previous prime is 2231599. The next prime is 2231609. The reversal of 2231600 is 61322.

2231600 = T₆₄ + T₆₅ + ... + T₂₃₈.

It is a super-3 number, since 3×2231600³ = 33340362151488000000, which contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2231609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2402 + ... + 3198.

2^2231600 is an apocalyptic number.

2231600 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 2231600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3067512).

2231600 is an abundant number, since it is smaller than the sum of its proper divisors (3903424).

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

2231600 is a wasteful number, since it uses less digits than its factorization.

2231600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 811 counting only the distinct ones).

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

The square root of 2231600 is about 1493.8540758722. The cubic root of 2231600 is about 130.6788942234.

Adding to 2231600 its reverse (61322), we get a palindrome (2292922).

The spelling of 2231600 in words is "two million, two hundred thirty-one thousand, six hundred".