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22185920861351 = 1315733937320303
BaseRepresentation
bin1010000101101100011111…
…11011101001010010100111
32220112221201222012200201122
411002312033323221102213
510401443231220030401
6115104023224244155
74446610541540342
oct502661773512247
986487658180648
1022185920861351
117083aa5a38845
1225a394401065b
13c4c17b03a0b0
14569b38dd5459
1528719027121b
hex142d8fee94a7

22185920861351 has 16 divisors (see below), whose sum is σ = 24045495460224. Its totient is φ = 20348206953984.

The previous prime is 22185920861347. The next prime is 22185920861387. The reversal of 22185920861351 is 15316802958122.

It is a happy number.

It is not a de Polignac number, because 22185920861351 - 22 = 22185920861347 is a prime.

It is a super-2 number, since 2×221859208613512 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22185920861293 and 22185920861302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22185920861051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69105266 + ... + 69425568.

It is an arithmetic number, because the mean of its divisors is an integer number (1502843466264).

Almost surely, 222185920861351 is an apocalyptic number.

22185920861351 is a deficient number, since it is larger than the sum of its proper divisors (1859574598873).

22185920861351 is a wasteful number, since it uses less digits than its factorization.

22185920861351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354410.

The product of its (nonzero) digits is 2073600, while the sum is 53.

The spelling of 22185920861351 in words is "twenty-two trillion, one hundred eighty-five billion, nine hundred twenty million, eight hundred sixty-one thousand, three hundred fifty-one".

Divisors: 1 13 157 2041 33937 320303 441181 4163939 5328109 50287571 69265417 653738423 10870122911 141311597843 1706609297027 22185920861351