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22323022014132 = 223573280867433
BaseRepresentation
bin1010001001101011110111…
…10011000010011010110100
32221001001121210012212200000
411010311323303002122310
510411220022113423012
6115251015453551300
74462533203240130
oct504657363023264
987031553185600
1022323022014132
11712715aa70084
122606426aa5530
13c5c08a172c78
1457262362c3c0
1528aa1672eddc
hex144d7bcc26b4

22323022014132 has 72 divisors (see below), whose sum is σ = 66877201774656. Its totient is φ = 6378006287808.

The previous prime is 22323022014091. The next prime is 22323022014133. The reversal of 22323022014132 is 23141022032322.

22323022014132 is a `hidden beast` number, since 2 + 2 + 3 + 23 + 0 + 220 + 1 + 413 + 2 = 666.

It is a super-3 number, since 3×223230220141323 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22323022014096 and 22323022014105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22323022014133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1640426913 + ... + 1640440520.

It is an arithmetic number, because the mean of its divisors is an integer number (928850024648).

Almost surely, 222323022014132 is an apocalyptic number.

It is an amenable number.

22323022014132 is an abundant number, since it is smaller than the sum of its proper divisors (44554179760524).

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

22323022014132 is a wasteful number, since it uses less digits than its factorization.

22323022014132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3280867459 (or 3280867445 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 22323022014132 its reverse (23141022032322), we get a palindrome (45464044046454).

The spelling of 22323022014132 in words is "twenty-two trillion, three hundred twenty-three billion, twenty-two million, fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 3280867433 6561734866 9842602299 13123469732 19685204598 22966072031 29527806897 39370409196 45932144062 59055613794 68898216093 88583420691 91864288124 118111227588 137796432186 177166841382 206694648279 265750262073 275592864372 354333682764 413389296558 531500524146 620083944837 797250786219 826778593116 1063001048292 1240167889674 1594501572438 1860251834511 2480335779348 3189003144876 3720503669022 5580755503533 7441007338044 11161511007066 22323022014132