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2246332260 = 2235233474691
BaseRepresentation
bin1000010111100100…
…0100111101100100
312210112212111120010
42011321010331210
514100030113020
61010522410220
7106444336434
oct20571047544
95715774503
102246332260
11a52aa5747
12528360970
1329a5044b3
1417449c2c4
15d231ede0
hex85e44f64

2246332260 has 96 divisors (see below), whose sum is σ = 6583514112. Its totient is φ = 571204480.

The previous prime is 2246332217. The next prime is 2246332303. The reversal of 2246332260 is 622336422.

It is an interprime number because it is at equal distance from previous prime (2246332217) and next prime (2246332303).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 476515 + ... + 481205.

It is an arithmetic number, because the mean of its divisors is an integer number (68578272).

Almost surely, 22246332260 is an apocalyptic number.

2246332260 is a gapful number since it is divisible by the number (20) 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 2246332260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291757056).

2246332260 is an abundant number, since it is smaller than the sum of its proper divisors (4337181852).

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

2246332260 is a wasteful number, since it uses less digits than its factorization.

2246332260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5073 (or 5071 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 2246332260 is about 47395.4877599123. The cubic root of 2246332260 is about 1309.6582951974.

Adding to 2246332260 its reverse (622336422), we get a palindrome (2868668682).

The spelling of 2246332260 in words is "two billion, two hundred forty-six million, three hundred thirty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 347 460 690 694 1041 1380 1388 1735 2082 3470 4164 4691 5205 6940 7981 9382 10410 14073 15962 18764 20820 23455 23943 28146 31924 39905 46910 47886 56292 70365 79810 93820 95772 107893 119715 140730 159620 215786 239430 281460 323679 431572 478860 539465 647358 1078930 1294716 1618395 1627777 2157860 3236790 3255554 4883331 6473580 6511108 8138885 9766662 16277770 19533324 24416655 32555540 37438871 48833310 74877742 97666620 112316613 149755484 187194355 224633226 374388710 449266452 561583065 748777420 1123166130 2246332260