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22116993921270 = 235528513192439
BaseRepresentation
bin1010000011101100000111…
…00100001111000011110110
32220022100211100000100100000
411001312003210033003312
510344331100420440040
6115012223504532130
74441620504321303
oct501660344170366
986270740010300
1022116993921270
117057845530556
122592508621046
13c45815000151
1456667ab080aa
152854a8e74130
hex141d8390f0f6

22116993921270 has 96 divisors (see below), whose sum is σ = 59654904341760. Its totient is φ = 5895794498400.

The previous prime is 22116993921251. The next prime is 22116993921271. The reversal of 22116993921270 is 7212939961122.

It is a happy number.

22116993921270 is a `hidden beast` number, since 2 + 21 + 169 + 9 + 392 + 1 + 2 + 70 = 666.

It is a super-2 number, since 2×221169939212702 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22116993921271) 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, 5331711 + ... + 8524149.

It is an arithmetic number, because the mean of its divisors is an integer number (621405253560).

Almost surely, 222116993921270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22116993921270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29827452170880).

22116993921270 is an abundant number, since it is smaller than the sum of its proper divisors (37537910420490).

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

22116993921270 is a wasteful number, since it uses less digits than its factorization.

22116993921270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3195312 (or 3195300 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 22116993921270 in words is "twenty-two trillion, one hundred sixteen billion, nine hundred ninety-three million, nine hundred twenty-one thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430 2851 5702 8553 14255 17106 25659 28510 42765 51318 76977 85530 128295 153954 230931 256590 384885 461862 692793 769770 1154655 1385586 2309310 3192439 3463965 6384878 6927930 9577317 15962195 19154634 28731951 31924390 47886585 57463902 86195853 95773170 143659755 172391706 258587559 287319510 430979265 517175118 775762677 861958530 1292937795 1551525354 2585875590 3878813385 7757626770 9101643589 18203287178 27304930767 45508217945 54609861534 81914792301 91016435890 136524653835 163829584602 245744376903 273049307670 409573961505 491488753806 737233130709 819147923010 1228721884515 1474466261418 2211699392127 2457443769030 3686165653545 4423398784254 7372331307090 11058496960635 22116993921270