Search a number
-
+
22214134124505 = 3353773301120233
BaseRepresentation
bin1010000110100001000011…
…00100101100111111011001
32220122122120012102221221000
411003100201210230333121
510402424021313441010
6115125010552335213
74451626644402021
oct503204144547731
986578505387830
1022214134124505
117094a63656a54
1225a92b86a4509
13c51a261a704b
1456b25401aa81
15287c920b17c0
hex14342192cfd9

22214134124505 has 128 divisors (see below), whose sum is σ = 41130432023040. Its totient is φ = 11365088071680.

The previous prime is 22214134124381. The next prime is 22214134124531. The reversal of 22214134124505 is 50542143141222.

22214134124505 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 4 + 134 + 12 + 4 + 505 = 666.

It is not a de Polignac number, because 22214134124505 - 210 = 22214134123481 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22214134124505.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1097905869 + ... + 1097926101.

It is an arithmetic number, because the mean of its divisors is an integer number (321331500180).

Almost surely, 222214134124505 is an apocalyptic number.

It is an amenable number.

22214134124505 is a deficient number, since it is larger than the sum of its proper divisors (18916297898535).

22214134124505 is a wasteful number, since it uses less digits than its factorization.

22214134124505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23368 (or 23362 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 22214134124505 its reverse (50542143141222), we get a palindrome (72756277265727).

The spelling of 22214134124505 in words is "twenty-two trillion, two hundred fourteen billion, one hundred thirty-four million, one hundred twenty-four thousand, five hundred five".

Divisors: 1 3 5 9 15 27 37 45 73 111 135 185 219 333 365 555 657 999 1095 1665 1971 2701 3011 3285 4995 8103 9033 9855 13505 15055 20233 24309 27099 40515 45165 60699 72927 81297 101165 111407 121545 135495 182097 219803 303495 334221 364635 406485 546291 557035 659409 748621 910485 1002663 1099015 1477009 1671105 1978227 2245863 2731455 3007989 3297045 3743105 4431027 5013315 5934681 6737589 7385045 8132711 9891135 11229315 13293081 15039945 20212767 22155135 24398133 29673405 33687945 39879243 40663555 54649333 60921563 66465405 73194399 101063835 121990665 163947999 182764689 199396215 219583197 273246665 304607815 365971995 491843997 548294067 819739995 913823445 1097915985 1475531991 1644882201 2254097831 2459219985 2741470335 4447274099 6762293493 7377659955 8224411005 11270489155 13341822297 20286880479 22236370495 33811467465 40025466891 60860641437 66709111485 101434402395 120076400673 164549141663 200127334455 304303207185 493647424989 600382003365 822745708315 1480942274967 2468237124945 4442826824901 7404711374835 22214134124505