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2002241540 = 22513231911753
BaseRepresentation
bin111011101010111…
…1100100000000100
312011112120102001002
41313111330200010
513100033212130
6530402552432
7100421525615
oct16725744004
95145512032
102002241540
11938238782
1247a668718
1325ba80710
1414dcbdc0c
15baba6b45
hex7757c804

2002241540 has 96 divisors (see below), whose sum is σ = 4752470016. Its totient is φ = 703042560.

The previous prime is 2002241537. The next prime is 2002241621. The reversal of 2002241540 is 451422002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1141304 + ... + 1143056.

It is an arithmetic number, because the mean of its divisors is an integer number (49504896).

Almost surely, 22002241540 is an apocalyptic number.

2002241540 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 2002241540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376235008).

2002241540 is an abundant number, since it is smaller than the sum of its proper divisors (2750228476).

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

2002241540 is a wasteful number, since it uses less digits than its factorization.

2002241540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2002241540 is about 44746.4137110450. The cubic root of 2002241540 is about 1260.3915680628.

Adding to 2002241540 its reverse (451422002), we get a palindrome (2453663542).

The spelling of 2002241540 in words is "two billion, two million, two hundred forty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 191 230 260 299 382 460 598 764 955 1196 1495 1753 1910 2483 2990 3506 3820 4393 4966 5980 7012 8765 8786 9932 12415 17530 17572 21965 22789 24830 35060 40319 43930 45578 49660 57109 80638 87860 91156 113945 114218 161276 201595 227890 228436 285545 334823 403190 455780 524147 571090 669646 806380 1048294 1142180 1339292 1674115 2096588 2620735 3348230 4352699 5241470 6696460 7700929 8705398 10482940 15401858 17410796 21763495 30803716 38504645 43526990 77009290 87053980 100112077 154018580 200224154 400448308 500560385 1001120770 2002241540