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22694138145 = 3857372671
BaseRepresentation
bin10101001000101011…
…010001000100100001
32011120121000200000000
4111020223101010201
5332434144410040
614231530050213
71432244664030
oct251053210441
964517020000
1022694138145
119696281978
124494279969
1321a88bb213
141154030717
158cc544130
hex548ad1121

22694138145 has 144 divisors (see below), whose sum is σ = 47962357248. Its totient is φ = 10090293120.

The previous prime is 22694138119. The next prime is 22694138147. The reversal of 22694138145 is 54183149622.

22694138145 is a `hidden beast` number, since 2 + 269 + 4 + 1 + 381 + 4 + 5 = 666.

It is not a de Polignac number, because 22694138145 - 28 = 22694137889 is a prime.

It is a super-2 number, since 2×226941381452 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 22694138145.

It is not an unprimeable number, because it can be changed into a prime (22694138147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8495160 + ... + 8497830.

Almost surely, 222694138145 is an apocalyptic number.

It is an amenable number.

22694138145 is an abundant number, since it is smaller than the sum of its proper divisors (25268219103).

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

22694138145 is an frugal number, since it uses more digits than its factorization.

22694138145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2723 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

It can be divided in two parts, 2269 and 4138145, that added together give a palindrome (4140414).

The spelling of 22694138145 in words is "twenty-two billion, six hundred ninety-four million, one hundred thirty-eight thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 37 45 63 81 105 111 135 185 189 243 259 315 333 405 555 567 729 777 945 999 1215 1295 1665 1701 2187 2331 2671 2835 2997 3645 3885 4995 5103 6561 6993 8013 8505 8991 10935 11655 13355 14985 15309 18697 20979 24039 25515 26973 32805 34965 40065 44955 45927 56091 62937 72117 76545 80919 93485 98827 104895 120195 134865 168273 188811 216351 229635 242757 280455 296481 314685 360585 404595 494135 504819 566433 649053 691789 841365 889443 944055 1081755 1213785 1482405 1514457 1699299 1947159 2075367 2524095 2668329 2832165 3245265 3458945 4447215 4543371 5841477 6226101 7572285 8004987 8496495 9735795 10376835 13341645 13630113 17524431 18678303 22716855 24014961 29207385 31130505 40024935 40890339 56034909 68150565 72044883 87622155 93391515 120074805 122671017 168104727 204451695 216134649 280174545 360224415 504314181 613355085 648403947 840523635 1080673245 1512942543 2521570905 3242019735 4538827629 7564712715 22694138145