Search a number
-
+
2282190967287 = 34721152273093
BaseRepresentation
bin100001001101011101001…
…011101001000111110111
322002011201210221021120000
4201031131023221013313
5244342411341423122
64504231332442343
7323611551102300
oct41153513510767
98064653837500
102282190967287
117aa965339230
1230a3791793b3
131372958a64aa
147c65c6b57a7
153e571e560ac
hex2135d2e91f7

2282190967287 has 60 divisors (see below), whose sum is σ = 4326330351816. Its totient is φ = 1185553726560.

The previous prime is 2282190967247. The next prime is 2282190967319. The reversal of 2282190967287 is 7827690912822.

2282190967287 is a `hidden beast` number, since 2 + 2 + 82 + 190 + 96 + 7 + 287 = 666.

It is not a de Polignac number, because 2282190967287 - 28 = 2282190967031 is a prime.

It is a super-2 number, since 2×22821909672872 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2282190967247) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 26092888 + ... + 26180205.

Almost surely, 22282190967287 is an apocalyptic number.

2282190967287 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2282190967287 is a deficient number, since it is larger than the sum of its proper divisors (2044139384529).

2282190967287 is a wasteful number, since it uses less digits than its factorization.

2282190967287 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52273130 (or 52273114 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 2282190967287 in words is "two trillion, two hundred eighty-two billion, one hundred ninety million, nine hundred sixty-seven thousand, two hundred eighty-seven".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 81 99 147 189 231 297 441 539 567 693 891 1323 1617 2079 3969 4851 6237 14553 43659 52273093 156819279 365911651 470457837 575004023 1097734953 1411373511 1725012069 2561381557 3293204859 4025028161 4234120533 5175036207 7684144671 9879614577 12075084483 15525108621 23052434013 28175197127 29638843731 36225253449 46575325863 69157302039 84525591381 108675760347 207471906117 253576774143 326027281041 760730322429 2282190967287