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23214947085 = 3451115733191
BaseRepresentation
bin10101100111101101…
…111111101100001101
32012220220000111120000
4111213231333230031
5340021011301320
614355332514513
71451200536321
oct254755775415
965826014500
1023214947085
119933261390
1245ba77ba39
13225c77a9a5
1411a3281981
1590d11cc90
hex567b7fb0d

23214947085 has 80 divisors (see below), whose sum is σ = 45688655232. Its totient is φ = 11183702400.

The previous prime is 23214947069. The next prime is 23214947089. The reversal of 23214947085 is 58074941232.

23214947085 is a `hidden beast` number, since 2 + 32 + 149 + 470 + 8 + 5 = 666.

It is not a de Polignac number, because 23214947085 - 24 = 23214947069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 23214947085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23214947089) 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 79 ways as a sum of consecutive naturals, for example, 682840 + ... + 716030.

Almost surely, 223214947085 is an apocalyptic number.

It is an amenable number.

23214947085 is a deficient number, since it is larger than the sum of its proper divisors (22473708147).

23214947085 is a wasteful number, since it uses less digits than its factorization.

23214947085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33376 (or 33367 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

It can be divided in two parts, 23214 and 947085, that added together give a cube (970299 = 993).

The spelling of 23214947085 in words is "twenty-three billion, two hundred fourteen million, nine hundred forty-seven thousand, eighty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 157 165 297 405 471 495 785 891 1413 1485 1727 2355 4239 4455 5181 7065 8635 12717 15543 21195 25905 33191 46629 63585 77715 99573 139887 165955 233145 298719 365101 497865 699435 896157 1095303 1493595 1825505 2688471 3285909 4480785 5210987 5476515 9857727 13442355 15632961 16429545 26054935 29573181 46898883 49288635 57320857 78164805 140696649 147865905 171962571 234494415 286604285 422089947 515887713 703483245 859812855 1547663139 2110449735 2579438565 4642989417 7738315695 23214947085