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2220822304 = 2559219937
BaseRepresentation
bin1000010001011111…
…0000111100100000
312201202212110110221
42010113300330200
514022012303204
61004211532424
7106014451411
oct20427607440
95652773427
102220822304
11a3a661738
1251b8ba114
1329514214c
14170d3b808
15cee81654
hex845f0f20

2220822304 has 36 divisors (see below), whose sum is σ = 4447828854. Its totient is φ = 1091535872.

The previous prime is 2220822269. The next prime is 2220822311. The reversal of 2220822304 is 4032280222.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2117840400 + 102981904 = 46020^2 + 10148^2 .

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 5 ways as a sum of consecutive naturals, for example, 101424 + ... + 121360.

Almost surely, 22220822304 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 2220822304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223914427).

2220822304 is an abundant number, since it is smaller than the sum of its proper divisors (2227006550).

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

2220822304 is an equidigital number, since it uses as much as digits as its factorization.

2220822304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20065 (or 19998 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 2220822304 is about 47125.6013648632. The cubic root of 2220822304 is about 1304.6817981002.

The spelling of 2220822304 in words is "two billion, two hundred twenty million, eight hundred twenty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 59 118 236 472 944 1888 3481 6962 13924 19937 27848 39874 55696 79748 111392 159496 318992 637984 1176283 2352566 4705132 9410264 18820528 37641056 69400697 138801394 277602788 555205576 1110411152 2220822304