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22312006065 = 355171080223
BaseRepresentation
bin10100110001111001…
…100011000110110001
32010120221222100100000
4110301321203012301
5331143333143230
614125555420213
71416624631236
oct246171430661
963527870300
1022312006065
11950a600438
1243a82b4669
13214769476b
14111939b78d
158a8c0eb60
hex531e631b1

22312006065 has 48 divisors (see below), whose sum is σ = 42465765888. Its totient is φ = 11199741696.

The previous prime is 22312006063. The next prime is 22312006081. The reversal of 22312006065 is 56060021322.

22312006065 is a `hidden beast` number, since 2 + 2 + 31 + 20 + 0 + 606 + 5 = 666.

It is not a de Polignac number, because 22312006065 - 21 = 22312006063 is a prime.

It is a super-3 number, since 3×223120060653 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (22312006063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 519457 + ... + 560766.

It is an arithmetic number, because the mean of its divisors is an integer number (884703456).

Almost surely, 222312006065 is an apocalyptic number.

It is an amenable number.

22312006065 is a deficient number, since it is larger than the sum of its proper divisors (20153759823).

22312006065 is a wasteful number, since it uses less digits than its factorization.

22312006065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080260 (or 1080248 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 22312006065 its reverse (56060021322), we get a palindrome (78372027387).

The spelling of 22312006065 in words is "twenty-two billion, three hundred twelve million, six thousand, sixty-five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 135 153 243 255 405 459 765 1215 1377 2295 4131 6885 20655 1080223 3240669 5401115 9722007 16203345 18363791 29166021 48610035 55091373 87498063 91818955 145830105 165274119 262494189 275456865 437490315 495822357 826370595 1312470945 1487467071 2479111785 4462401213 7437335355 22312006065