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24241022260 = 22572133161379
BaseRepresentation
bin10110100100111000…
…001010010100110100
32022120101202112002021
4112210320022110310
5344121200203020
615045225122524
71515500201200
oct264470122464
968511675067
1024241022260
11a30a4748a4
124846329444
132394217570
14125d659b00
1596d2501aa
hex5a4e0a534

24241022260 has 144 divisors (see below), whose sum is σ = 65830786560. Its totient is φ = 7424282880.

The previous prime is 24241022249. The next prime is 24241022261. The reversal of 24241022260 is 6222014242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24241022261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364251 + ... + 425629.

It is an arithmetic number, because the mean of its divisors is an integer number (457158240).

Almost surely, 224241022260 is an apocalyptic number.

24241022260 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 24241022260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32915393280).

24241022260 is an abundant number, since it is smaller than the sum of its proper divisors (41589764300).

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

24241022260 is a wasteful number, since it uses less digits than its factorization.

24241022260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61446 (or 61437 counting only the distinct ones).

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

The spelling of 24241022260 in words is "twenty-four billion, two hundred forty-one million, twenty-two thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 31 35 49 52 62 65 70 91 98 124 130 140 155 182 196 217 245 260 310 364 403 434 455 490 620 637 806 868 910 980 1085 1274 1519 1612 1820 2015 2170 2548 2821 3038 3185 4030 4340 5642 6076 6370 7595 8060 11284 12740 14105 15190 19747 28210 30380 39494 56420 61379 78988 98735 122758 197470 245516 306895 394940 429653 613790 797927 859306 1227580 1595854 1718612 1902749 2148265 3007571 3191708 3805498 3989635 4296530 5585489 6015142 7610996 7979270 8593060 9513745 11170978 12030284 13319243 15037855 15958540 19027490 22341956 24735737 26638486 27927445 30075710 38054980 39098423 49471474 53276972 55854890 60151420 66596215 78196846 93234701 98942948 111709780 123678685 133192430 156393692 173150159 186469402 195492115 247357370 266384860 346300318 372938804 390984230 466173505 494714740 692600636 781968460 865750795 932347010 1212051113 1731501590 1864694020 2424102226 3463003180 4848204452 6060255565 12120511130 24241022260