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22201433102004 = 223131912341318289
BaseRepresentation
bin1010000110001001011001…
…00010001001011010110100
32220121102210001020011111020
411003010230202021122310
510402222013333231004
6115115110401341140
74451000131444632
oct503045442113264
986542701204436
1022201433102004
11708a636217842
1225a69530377b0
13c50780a35910
1456a7ab27a352
1528779c01a8d9
hex14312c8896b4

22201433102004 has 96 divisors (see below), whose sum is σ = 56104433387520. Its totient is φ = 6792520550400.

The previous prime is 22201433101993. The next prime is 22201433102021. The reversal of 22201433102004 is 40020133410222.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69593292 + ... + 69911580.

It is an arithmetic number, because the mean of its divisors is an integer number (584421181120).

Almost surely, 222201433102004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22201433102004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28052216693760).

22201433102004 is an abundant number, since it is smaller than the sum of its proper divisors (33903000285516).

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

22201433102004 is a wasteful number, since it uses less digits than its factorization.

22201433102004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320841 (or 320839 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22201433102004 its reverse (40020133410222), we get a palindrome (62221566512226).

The spelling of 22201433102004 in words is "twenty-two trillion, two hundred one billion, four hundred thirty-three million, one hundred two thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 191 382 573 764 1146 2292 2341 2483 4682 4966 7023 7449 9364 9932 14046 14898 28092 29796 30433 60866 91299 121732 182598 318289 365196 447131 636578 894262 954867 1273156 1341393 1788524 1909734 2682786 3819468 4137757 5365572 5812703 8275514 11625406 12413271 16551028 17438109 23250812 24826542 34876218 49653084 60793199 69752436 121586398 182379597 243172796 364759194 729518388 745114549 790311587 1490229098 1580623174 2235343647 2370934761 2980458196 3161246348 4470687294 4741869522 8941374588 9483739044 9686489137 19372978274 29059467411 38745956548 58118934822 116237869644 142316878859 284633757718 426950636577 569267515436 853901273154 1707802546308 1850119425167 3700238850334 5550358275501 7400477700668 11100716551002 22201433102004