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22314154173796 = 2223210329972
BaseRepresentation
bin1010001001011011010110…
…01110111010010101100100
32221000012201202210220122001
411010231223032322111210
510411043341432030141
6115242551513215044
74462100353653202
oct504555316722544
987005652726561
1022314154173796
11712341a336411
122604771101484
13c5b2a5bb6474
145720219ba072
1528a697e5ba31
hex144b6b3ba564

22314154173796 has 81 divisors (see below), whose sum is σ = 41262963175161. Its totient is φ = 10557775080864.

The previous prime is 22314154173781. The next prime is 22314154173833. The reversal of 22314154173796 is 69737145141322.

It is a happy number.

The square root of 22314154173796 is 4723786.

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

It can be written as a sum of positive squares in only one way, i.e., 19207621022500 + 3106533151296 = 4382650^2 + 1762536^2 .

It is a super-3 number, since 3×223141541737963 (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22381297570 + ... + 22381298566.

Almost surely, 222314154173796 is an apocalyptic number.

22314154173796 is the 4723786-th square number.

It is an amenable number.

22314154173796 is a deficient number, since it is larger than the sum of its proper divisors (18948809001365).

22314154173796 is an frugal number, since it uses more digits than its factorization.

22314154173796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 1125 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 55.

The spelling of 22314154173796 in words is "twenty-two trillion, three hundred fourteen billion, one hundred fifty-four million, one hundred seventy-three thousand, seven hundred ninety-six".

Divisors: 1 2 4 23 46 92 103 206 412 529 997 1058 1994 2116 2369 3988 4738 9476 10609 21218 22931 42436 45862 54487 91724 102691 108974 205382 217948 244007 410764 488014 527413 976028 994009 1054826 1988018 2109652 2361893 3976036 4723786 5612161 9447572 10577173 11224322 21154346 22448644 22862207 42308692 45724414 54323539 91448828 102382927 108647078 204765854 217294156 243274979 409531708 486549958 525830761 973099916 1051661522 2103323044 2354807321 4709614642 5595324517 9419229284 10545441481 11190649034 21090882962 22381298068 42181765924 54160568383 108321136766 216642273532 242545154063 485090308126 970180616252 5578538543449 11157077086898 22314154173796