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23222414143341 = 32717199397274457
BaseRepresentation
bin1010100011110111000111…
…01111101110111101101101
310001020001002222011220221100
411101323203233232331231
511020434001010041331
6121220121344353313
74614523033220460
oct521734357567555
9101201088156840
1023222414143341
117443630416616
1227307ab615839
13cc5b30a08aca
145a3d83dbd2d7
152a41056d6ae6
hex151ee3beef6d

23222414143341 has 96 divisors (see below), whose sum is σ = 40897315929600. Its totient is φ = 12395258523648.

The previous prime is 23222414143333. The next prime is 23222414143343. The reversal of 23222414143341 is 14334141422232.

23222414143341 is a `hidden beast` number, since 2 + 3 + 22 + 24 + 141 + 433 + 41 = 666.

It is not a de Polignac number, because 23222414143341 - 23 = 23222414143333 is a prime.

It is a super-2 number, since 2×232224141433412 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 23222414143296 and 23222414143305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23222414143343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84474985 + ... + 84749441.

It is an arithmetic number, because the mean of its divisors is an integer number (426013707600).

Almost surely, 223222414143341 is an apocalyptic number.

23222414143341 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23222414143341 is a deficient number, since it is larger than the sum of its proper divisors (17674901786259).

23222414143341 is a wasteful number, since it uses less digits than its factorization.

23222414143341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275083 (or 275080 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 23222414143341 its reverse (14334141422232), we get a palindrome (37556555565573).

The spelling of 23222414143341 in words is "twenty-three trillion, two hundred twenty-two billion, four hundred fourteen million, one hundred forty-three thousand, three hundred forty-one".

Divisors: 1 3 7 9 17 21 51 63 119 153 199 357 397 597 1071 1191 1393 1791 2779 3383 3573 4179 6749 8337 10149 12537 20247 23681 25011 30447 47243 60741 71043 79003 141729 213129 237009 274457 425187 553021 711027 823371 1343051 1659063 1921199 2470113 4029153 4665769 4977189 5763597 9401357 12087459 13997307 17290791 28204071 32660383 41991921 54616943 84612213 97981149 108959429 163850829 293943447 326878287 382318601 491552487 762716003 928488031 980634861 1146955803 1852310293 2288148009 2785464093 3440867409 5556930879 6499416217 6864444027 8356392279 12966172051 16670792637 19498248651 21682926371 38898516153 58494745953 65048779113 116695548459 151780484597 195146337339 368609748307 455341453791 1105829244921 1366024361373 2580268238149 3317487734763 7740804714447 23222414143341