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22201244113014 = 235417191549631
BaseRepresentation
bin1010000110001001000010…
…10001001101100001110110
32220121102021212121112100000
411003010201101031201312
510402221121443104024
6115115035530532130
74450662345200421
oct503044121154166
986542255545300
1022201244113014
11708a54957559a
1225a68bb897046
13c50750835405
1456a7901229b8
1528778a638cc9
hex14312144d876

22201244113014 has 96 divisors (see below), whose sum is σ = 51172071874560. Its totient is φ = 7209870523200.

The previous prime is 22201244113001. The next prime is 22201244113019. The reversal of 22201244113014 is 41031144210222.

22201244113014 is a `hidden beast` number, since 2 + 2 + 201 + 2 + 4 + 411 + 30 + 14 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22201244113019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13551979 + ... + 15101609.

It is an arithmetic number, because the mean of its divisors is an integer number (533042415360).

Almost surely, 222201244113014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22201244113014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25586035937280).

22201244113014 is an abundant number, since it is smaller than the sum of its proper divisors (28970827761546).

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

22201244113014 is a wasteful number, since it uses less digits than its factorization.

22201244113014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550408 (or 1550396 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 22201244113014 its reverse (41031144210222), we get a palindrome (63232388323236).

The spelling of 22201244113014 in words is "twenty-two trillion, two hundred one billion, two hundred forty-four million, one hundred thirteen thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 243 246 369 486 719 738 1107 1438 2157 2214 3321 4314 6471 6642 9963 12942 19413 19926 29479 38826 58239 58958 88437 116478 174717 176874 265311 349434 530622 795933 1549631 1591866 2387799 3099262 4648893 4775598 7163397 9297786 13946679 14326794 27893358 41840037 63534871 83680074 125520111 127069742 190604613 251040222 376560333 381209226 571813839 753120666 1114184689 1143627678 1715441517 2228369378 3342554067 3430883034 5146324551 6685108134 10027662201 10292649102 15438973653 20055324402 30082986603 30877947306 45681572249 60165973206 90248959809 91363144498 137044716747 180497919618 270746879427 274089433494 411134150241 541493758854 822268300482 1233402450723 2466804901446 3700207352169 7400414704338 11100622056507 22201244113014