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22023133321332 = 223112133131937253
BaseRepresentation
bin1010000000111101010010…
…00010011101100001110100
32212222101120000201211200210
411000132221002131201310
510341311334112240312
6114501142054305420
74432055526352323
oct500365102354164
985871500654623
1022023133321332
117020a5a688600
122578292958270
13c39a07416710
14561cd51c20ba
15282d13c0ae3c
hex1407a909d874

22023133321332 has 144 divisors (see below), whose sum is σ = 60832038718080. Its totient is φ = 6159954958080.

The previous prime is 22023133321309. The next prime is 22023133321333. The reversal of 22023133321332 is 23312333132022.

It is a self number, because there is not a number n which added to its sum of digits gives 22023133321332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22023133321333) 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 47 ways as a sum of consecutive naturals, for example, 591158818 + ... + 591196070.

It is an arithmetic number, because the mean of its divisors is an integer number (422444713320).

Almost surely, 222023133321332 is an apocalyptic number.

22023133321332 is a gapful number since it is divisible by the number (22) 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 22023133321332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30416019359040).

22023133321332 is an abundant number, since it is smaller than the sum of its proper divisors (38808905396748).

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

22023133321332 is a wasteful number, since it uses less digits than its factorization.

22023133321332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68614 (or 68601 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 22023133321332 its reverse (23312333132022), we get a palindrome (45335466453354).

The spelling of 22023133321332 in words is "twenty-two trillion, twenty-three billion, one hundred thirty-three million, three hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 121 132 143 156 242 286 363 429 484 572 726 858 1452 1573 1716 3146 4719 6292 9438 18876 31319 37253 62638 74506 93957 111759 125276 149012 187914 223518 344509 375828 407147 409783 447036 484289 689018 814294 819566 968578 1033527 1221441 1229349 1378036 1452867 1628588 1639132 1937156 2067054 2442882 2458698 2905734 3789599 4134108 4478617 4507613 4885764 4917396 5327179 5811468 7579198 8957234 9015226 10654358 11368797 13435851 13522839 15158396 15981537 17914468 18030452 21308716 22737594 26871702 27045678 31963074 45475188 49264787 53743404 54091356 58598969 63926148 98529574 117197938 147794361 175796907 197059148 234395876 295588722 351593814 591177444 703187628 1166726707 2333453414 3500180121 4666906828 7000360242 12833993777 14000720484 15167447191 25667987554 30334894382 38501981331 45502341573 51335975108 60669788764 77003962662 91004683146 141173931547 154007925324 166841919101 182009366292 282347863094 333683838202 423521794641 500525757303 564695726188 667367676404 847043589282 1001051514606 1694087178564 1835261110111 2002103029212 3670522220222 5505783330333 7341044440444 11011566660666 22023133321332