Search a number
-
+
22706056375016 = 23723103991172709
BaseRepresentation
bin1010010100110101010100…
…11011001010101011101000
32222101200022002221111000112
411022122222123022223220
510434004000413000031
6120143003541353452
74532313146500340
oct512325233125350
988350262844015
1022706056375016
117264647972723
122668704408888
13c8923095baa1
14586d9c4d7d20
1529598398c62b
hex14a6aa6caae8

22706056375016 has 128 divisors (see below), whose sum is σ = 51316258406400. Its totient is φ = 9208348427520.

The previous prime is 22706056375001. The next prime is 22706056375063. The reversal of 22706056375016 is 61057365060722.

It is a super-2 number, since 2×227060563750162 (a number of 28 digits) contains 22 as substring.

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, 131383670 + ... + 131556378.

It is an arithmetic number, because the mean of its divisors is an integer number (400908268800).

Almost surely, 222706056375016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22706056375016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25658129203200).

22706056375016 is an abundant number, since it is smaller than the sum of its proper divisors (28610202031384).

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

22706056375016 is a wasteful number, since it uses less digits than its factorization.

22706056375016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173839 (or 173835 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 50.

The spelling of 22706056375016 in words is "twenty-two trillion, seven hundred six billion, fifty-six million, three hundred seventy-five thousand, sixteen".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 103 161 184 206 322 412 644 721 824 991 1288 1442 1982 2369 2884 3964 4738 5768 6937 7928 9476 13874 16583 18952 22793 27748 33166 45586 55496 66332 91172 102073 132664 159551 172709 182344 204146 319102 345418 408292 638204 690836 714511 816584 1208963 1276408 1381672 1429022 2347679 2417926 2858044 3972307 4695358 4835852 5716088 7944614 9390716 9671704 15889228 16433753 17789027 18781432 27806149 31778456 32867506 35578054 55612298 65735012 71156108 111224596 124523189 131470024 142312216 171154619 222449192 249046378 342309238 409147621 498092756 684618476 818295242 996185512 1198082333 1369236952 1636590484 2396164666 2864033347 3273180968 3936556237 4792329332 5728066694 7873112474 9584658664 11456133388 15746224948 17628925757 22912266776 27555893659 31492449896 35257851514 55111787318 70515703028 110223574636 123402480299 141031406056 220447149272 246804960598 405465292411 493609921196 810930584822 987219842392 1621861169644 2838257046877 3243722339288 5676514093754 11353028187508 22706056375016