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22436145369 = 34112172892
BaseRepresentation
bin10100111001010011…
…000110100011011001
32010220121120021110000
4110321103012203121
5331422123122434
614150152243213
71422663042351
oct247123064331
963817507400
1022436145369
11957368a100
1244219a0509
13216730a781
14112ba73b61
158b4a81b99
hex5394c68d9

22436145369 has 135 divisors (see below), whose sum is σ = 39578754061. Its totient is φ = 12654005760.

The previous prime is 22436145349. The next prime is 22436145371. The reversal of 22436145369 is 96354163422.

The square root of 22436145369 is 149787.

It is a perfect power (a square), and thus also a powerful number.

22436145369 is a `hidden beast` number, since 2 + 24 + 3 + 614 + 5 + 3 + 6 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29648025 + 22406497344 = 5445^2 + 149688^2 .

It is not a de Polignac number, because 22436145369 - 213 = 22436137177 is a prime.

It is a super-2 number, since 2×224361453692 (a number of 22 digits) contains 22 as substring.

Its product of digits (933120) is a multiple of the sum of its prime divisors (120).

It is not an unprimeable number, because it can be changed into a prime (22436145349) 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 134 ways as a sum of consecutive naturals, for example, 252091477 + ... + 252091565.

Almost surely, 222436145369 is an apocalyptic number.

22436145369 is the 149787-th square number.

22436145369 is the 74894-th centered octagonal number.

It is an amenable number.

22436145369 is a deficient number, since it is larger than the sum of its proper divisors (17142608692).

22436145369 is an equidigital number, since it uses as much as digits as its factorization.

22436145369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 120 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 22436145369 in words is "twenty-two billion, four hundred thirty-six million, one hundred forty-five thousand, three hundred sixty-nine".

Divisors: 1 3 9 11 17 27 33 51 81 89 99 121 153 187 267 289 297 363 459 561 801 867 891 979 1089 1377 1513 1683 2057 2403 2601 2937 3179 3267 4539 5049 6171 7209 7803 7921 8811 9537 9801 10769 13617 15147 16643 18513 23409 23763 25721 26433 28611 32307 34969 40851 49929 55539 71289 77163 79299 85833 87131 96921 104907 122553 134657 149787 166617 183073 213867 231489 257499 261393 282931 290763 314721 403971 449361 549219 641601 694467 784179 848793 872289 944163 958441 1211913 1348083 1481227 1647657 2083401 2289169 2352537 2546379 2832489 2875323 3112241 3635739 4443681 4942971 6867507 7057611 7639137 8625969 9336723 10907217 13331043 14828913 16293497 20602521 22917411 25180859 25877907 28010169 39993129 48880491 61807563 75542577 77633721 84030507 119979387 146641473 185422689 226627731 252091521 276989449 439924419 679883193 830968347 1319773257 2039649579 2492905041 7478715123 22436145369