Search a number
-
+
22130145244662 = 23721321726200001
BaseRepresentation
bin1010000100000100100110…
…11100100011010111110110
32220100121202212112210110120
411002002103130203113312
510400040014140312122
6115022240503232410
74442564425610100
oct502022334432766
986317685483416
1022130145244662
117062384071464
122594b78a48706
13c46b2c845200
145671675c4570
152859c881775c
hex1420937235f6

22130145244662 has 144 divisors (see below), whose sum is σ = 59031119706192. Its totient is φ = 5493196800000.

The previous prime is 22130145244607. The next prime is 22130145244673. The reversal of 22130145244662 is 26644254103122.

It is a super-2 number, since 2×221301452446622 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12255339 + ... + 13944662.

It is an arithmetic number, because the mean of its divisors is an integer number (409938331293).

Almost surely, 222130145244662 is an apocalyptic number.

22130145244662 is an abundant number, since it is smaller than the sum of its proper divisors (36900974461530).

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

22130145244662 is a wasteful number, since it uses less digits than its factorization.

22130145244662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26200063 (or 26200043 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

Adding to 22130145244662 its reverse (26644254103122), we get a palindrome (48774399347784).

The spelling of 22130145244662 in words is "twenty-two trillion, one hundred thirty billion, one hundred forty-five million, two hundred forty-four thousand, six hundred sixty-two".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 49 51 78 91 98 102 119 147 169 182 221 238 273 294 338 357 442 507 546 637 663 714 833 1014 1183 1274 1326 1547 1666 1911 2366 2499 2873 3094 3549 3822 4641 4998 5746 7098 8281 8619 9282 10829 16562 17238 20111 21658 24843 32487 40222 49686 60333 64974 120666 140777 281554 422331 844662 26200001 52400002 78600003 157200006 183400007 340600013 366800014 445400017 550200021 681200026 890800034 1021800039 1100400042 1283800049 1336200051 2043600078 2384200091 2567600098 2672400102 3117800119 3851400147 4427800169 4768400182 5790200221 6235600238 7152600273 7702800294 8855600338 9353400357 11580400442 13283400507 14305200546 16689400637 17370600663 18706800714 21824600833 26566801014 30994601183 33378801274 34741201326 40531401547 43649201666 50068201911 61989202366 65473802499 75272602873 81062803094 92983803549 100136403822 121594204641 130947604998 150545205746 185967607098 216962208281 225817808619 243188409282 283719810829 433924416562 451635617238 526908220111 567439621658 650886624843 851159432487 1053816440222 1301773249686 1580724660333 1702318864974 3161449320666 3688357540777 7376715081554 11065072622331 22130145244662