Search a number
-
+
2246241660 = 2235136474451
BaseRepresentation
bin1000010111100010…
…1110110101111100
312210112200220021120
42011320232311330
514100014213120
61010520430540
7106443511335
oct20570566574
95715626246
102246241660
11a52a43673
12528318450
1329a4a21a0
1417447728c
15d2303140
hex85e2ed7c

2246241660 has 96 divisors (see below), whose sum is σ = 6785275392. Its totient is φ = 551942400.

The previous prime is 2246241649. The next prime is 2246241667. The reversal of 2246241660 is 661426422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2246241667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 502435 + ... + 506885.

It is an arithmetic number, because the mean of its divisors is an integer number (70679952).

Almost surely, 22246241660 is an apocalyptic number.

2246241660 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 2246241660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392637696).

2246241660 is an abundant number, since it is smaller than the sum of its proper divisors (4539033732).

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

2246241660 is a wasteful number, since it uses less digits than its factorization.

2246241660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5123 (or 5121 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 2246241660 is about 47394.5319630862. The cubic root of 2246241660 is about 1309.6406877343.

The spelling of 2246241660 in words is "two billion, two hundred forty-six million, two hundred forty-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 647 780 1294 1941 2588 3235 3882 4451 6470 7764 8411 8902 9705 12940 13353 16822 17804 19410 22255 25233 26706 33644 38820 42055 44510 50466 53412 57863 66765 84110 89020 100932 115726 126165 133530 168220 173589 231452 252330 267060 289315 347178 504660 578630 694356 867945 1157260 1735890 2879797 3471780 5759594 8639391 11519188 14398985 17278782 28797970 34557564 37437361 43196955 57595940 74874722 86393910 112312083 149749444 172787820 187186805 224624166 374373610 449248332 561560415 748747220 1123120830 2246241660