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2241846540 = 2232597128399
BaseRepresentation
bin1000010110011111…
…1101110100001100
312210020102121022100
42011213331310030
514042403042130
61010242315100
7106361244513
oct20547756414
95706377270
102241846540
11a5051153a
12526958a90
132995c381b
14173a5167a
15d1c35c60
hex859fdd0c

2241846540 has 72 divisors (see below), whose sum is σ = 6870427200. Its totient is φ = 591657984.

The previous prime is 2241846533. The next prime is 2241846553. The reversal of 2241846540 is 456481422.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2241846495 and 2241846504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46740 + ... + 81659.

It is an arithmetic number, because the mean of its divisors is an integer number (95422600).

Almost surely, 22241846540 is an apocalyptic number.

2241846540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241846540 is an abundant number, since it is smaller than the sum of its proper divisors (4628580660).

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

2241846540 is a wasteful number, since it uses less digits than its factorization.

2241846540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128511 (or 128506 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2241846540 is about 47348.1418854003. The cubic root of 2241846540 is about 1308.7859583501.

The spelling of 2241846540 in words is "two billion, two hundred forty-one million, eight hundred forty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 194 291 388 485 582 873 970 1164 1455 1746 1940 2910 3492 4365 5820 8730 17460 128399 256798 385197 513596 641995 770394 1155591 1283990 1540788 1925985 2311182 2567980 3851970 4622364 5777955 7703940 11555910 12454703 23111820 24909406 37364109 49818812 62273515 74728218 112092327 124547030 149456436 186820545 224184654 249094060 373641090 448369308 560461635 747282180 1120923270 2241846540