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22482180342 = 2342941116719
BaseRepresentation
bin10100111100000010…
…101101100011110110
32011000211012002120000
4110330002231203312
5332020414232332
614154515052130
71424062244166
oct247402554366
964024162500
1022482180342
119597671936
1244352a1046
132173a081bb
141133c185a6
158b8b26b7c
hex53c0ad8f6

22482180342 has 80 divisors (see below), whose sum is σ = 53385393600. Its totient is φ = 7059104640.

The previous prime is 22482180341. The next prime is 22482180397. The reversal of 22482180342 is 24308128422.

22482180342 is a `hidden beast` number, since 224 + 82 + 18 + 0 + 342 = 666.

It is a super-2 number, since 2×224821803422 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22482180297 and 22482180306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22482180341) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 134259 + ... + 250977.

It is an arithmetic number, because the mean of its divisors is an integer number (667317420).

Almost surely, 222482180342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22482180342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26692696800).

22482180342 is an abundant number, since it is smaller than the sum of its proper divisors (30903213258).

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

22482180342 is a wasteful number, since it uses less digits than its factorization.

22482180342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116803 (or 116794 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 22482180342 in words is "twenty-two billion, four hundred eighty-two million, one hundred eighty thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 41 54 58 81 82 87 123 162 174 246 261 369 522 738 783 1107 1189 1566 2214 2349 2378 3321 3567 4698 6642 7134 10701 21402 32103 64206 96309 116719 192618 233438 350157 700314 1050471 2100942 3151413 3384851 4785479 6302826 6769702 9454239 9570958 10154553 14356437 18908478 20309106 28712874 30463659 43069311 60927318 86138622 91390977 129207933 138778891 182781954 258415866 274172931 277557782 387623799 416336673 548345862 775247598 832673346 1249010019 2498020038 3747030057 7494060114 11241090171 22482180342