Search a number
-
+
42223545210 = 23571160730113
BaseRepresentation
bin100111010100101110…
…000010101101111010
311000222122001100002210
4213110232002231322
51142433211421320
631221445035550
73023224132620
oct472456025572
9130878040083
1042223545210
11169a80aa510
1282246b5bb6
133c9b938ba2
142087a17510
151171d050e0
hex9d4b82b7a

42223545210 has 128 divisors (see below), whose sum is σ = 126553964544. Its totient is φ = 8758978560.

The previous prime is 42223545191. The next prime is 42223545211. The reversal of 42223545210 is 1254532224.

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

It is not an unprimeable number, because it can be changed into a prime (42223545211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1387114 + ... + 1417226.

It is an arithmetic number, because the mean of its divisors is an integer number (988702848).

Almost surely, 242223545210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42223545210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63276982272).

42223545210 is an abundant number, since it is smaller than the sum of its proper divisors (84330419334).

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

42223545210 is a wasteful number, since it uses less digits than its factorization.

42223545210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30748.

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 42223545210 in words is "forty-two billion, two hundred twenty-three million, five hundred forty-five thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 607 770 1155 1214 1821 2310 3035 3642 4249 6070 6677 8498 9105 12747 13354 18210 20031 21245 25494 30113 33385 40062 42490 46739 60226 63735 66770 90339 93478 100155 127470 140217 150565 180678 200310 210791 233695 280434 301130 331243 421582 451695 467390 632373 662486 701085 903390 993729 1053955 1264746 1402170 1656215 1987458 2107910 2318701 3161865 3312430 4637402 4968645 6323730 6956103 9937290 11593505 13912206 18278591 23187010 34780515 36557182 54835773 69561030 91392955 109671546 127950137 182785910 201064501 255900274 274178865 383850411 402129002 548357730 603193503 639750685 767700822 1005322505 1206387006 1279501370 1407451507 1919252055 2010645010 2814903014 3015967515 3838504110 4222354521 6031935030 7037257535 8444709042 14074515070 21111772605 42223545210