2204832 has 96 divisors (see below), whose sum is σ = 7039872. Its totient is φ = 589824.

The previous prime is 2204831. The next prime is 2204833. The reversal of 2204832 is 2384022.

2204832 = T₃₄₃ + T₃₄₄ + ... + T₃₇₆.

It is an interprime number because it is at equal distance from previous prime (2204831) and next prime (2204833).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2204832² = 9722568296448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2204799 and 2204808.

It is not an unprimeable number, because it can be changed into a prime (2204831) 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 15 ways as a sum of consecutive naturals, for example, 11328 + ... + 11520.

It is an arithmetic number, because the mean of its divisors is an integer number (73332).

2^2204832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2204832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519936).

2204832 is an abundant number, since it is smaller than the sum of its proper divisors (4835040).

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

2204832 is a wasteful number, since it uses less digits than its factorization.

2204832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2204832 is about 1484.8676708717. The cubic root of 2204832 is about 130.1542941168.

Adding to 2204832 its reverse (2384022), we get a palindrome (4588854).

The spelling of 2204832 in words is "two million, two hundred four thousand, eight hundred thirty-two".