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2204323424 = 25532137179
BaseRepresentation
bin1000001101100011…
…0100111001100000
312200121211020021022
42003120310321200
514003301322144
61002422145012
7105424303622
oct20330647140
95617736238
102204323424
11a313128a6
12516282168
132918b64b4
1416ca84c12
15cd7c2cee
hex83634e60

2204323424 has 72 divisors (see below), whose sum is σ = 4480365960. Its totient is φ = 1067475968.

The previous prime is 2204323397. The next prime is 2204323447. The reversal of 2204323424 is 4243234022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2204323393 and 2204323402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12314567 + ... + 12314745.

It is an arithmetic number, because the mean of its divisors is an integer number (62227305).

Almost surely, 22204323424 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 2204323424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240182980).

2204323424 is an abundant number, since it is smaller than the sum of its proper divisors (2276042536).

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

2204323424 is a wasteful number, since it uses less digits than its factorization.

2204323424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

The square root of 2204323424 is about 46950.2228322721. Note that the first 3 decimals coincide. The cubic root of 2204323424 is about 1301.4428603150.

Adding to 2204323424 its reverse (4243234022), we get a palindrome (6447557446).

The spelling of 2204323424 in words is "two billion, two hundred four million, three hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 53 106 137 179 212 274 358 424 548 716 848 1096 1432 1696 2192 2809 2864 4384 5618 5728 7261 9487 11236 14522 18974 22472 24523 29044 37948 44944 49046 58088 75896 89888 98092 116176 151792 196184 232352 303584 384833 392368 502811 769666 784736 1005622 1299719 1539332 2011244 2599438 3078664 4022488 5198876 6157328 8044976 10397752 12314656 16089952 20795504 41591008 68885107 137770214 275540428 551080856 1102161712 2204323424