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2204424 = 2332171801
BaseRepresentation
bin1000011010001100001000
311010222220100
420122030020
51031020144
6115125400
724510615
oct10321410
94128810
102204424
111276242
128a3860
135c24c1
1441550c
152d8269
hex21a308

2204424 has 48 divisors (see below), whose sum is σ = 6325020. Its totient is φ = 691200.

The previous prime is 2204393. The next prime is 2204431. The reversal of 2204424 is 4244022.

2204424 is a `hidden beast` number, since 220 + 442 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2196324 + 8100 = 1482^2 + 90^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2204397 and 2204406.

It is an unprimeable number.

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, 324 + ... + 2124.

22204424 is an apocalyptic number.

2204424 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 2204424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162510).

2204424 is an abundant number, since it is smaller than the sum of its proper divisors (4120596).

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

2204424 is a wasteful number, since it uses less digits than its factorization.

2204424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2204424 is about 1484.7302785355. The cubic root of 2204424 is about 130.1462653528.

Adding to 2204424 its reverse (4244022), we get a palindrome (6448446).

It can be divided in two parts, 2204 and 424, that added together give a triangular number (2628 = T72).

The spelling of 2204424 in words is "two million, two hundred four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 1801 3602 5403 7204 10806 14408 16209 21612 30617 32418 43224 61234 64836 91851 122468 129672 183702 244936 275553 367404 551106 734808 1102212 2204424