2231904 has 48 divisors (see below), whose sum is σ = 5963328. Its totient is φ = 730752.

The previous prime is 2231891. The next prime is 2231909. The reversal of 2231904 is 4091322.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×2231904³ = 33353989393192353792, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231909) 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 7 ways as a sum of consecutive naturals, for example, 6259 + ... + 6605.

It is an arithmetic number, because the mean of its divisors is an integer number (124236).

2^2231904 is an apocalyptic number.

2231904 is a gapful number since it is divisible by the number (24) 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 2231904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981664).

2231904 is an abundant number, since it is smaller than the sum of its proper divisors (3731424).

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

2231904 is a wasteful number, since it uses less digits than its factorization.

2231904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2231904 is about 1493.9558226400. The cubic root of 2231904 is about 130.6848278704.

The spelling of 2231904 in words is "two million, two hundred thirty-one thousand, nine hundred four".