[go: up one dir, main page]

Search a number
-
+
23083214 = 274111923
BaseRepresentation
bin101100000001…
…1100011001110
31121102202012212
41120003203032
521402130324
62142430422
7400130000
oct130034316
947382185
1023083214
1112036840
127892412
134a2290b
1430cc370
15205e70e
hex16038ce

23083214 has 80 divisors (see below), whose sum is σ = 48401280. Its totient is φ = 8149680.

The previous prime is 23083211. The next prime is 23083223. The reversal of 23083214 is 41238032.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 23083214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23083211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1003607 + ... + 1003629.

It is an arithmetic number, because the mean of its divisors is an integer number (605016).

Almost surely, 223083214 is an apocalyptic number.

23083214 is an abundant number, since it is smaller than the sum of its proper divisors (25318066).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23083214 is a wasteful number, since it uses less digits than its factorization.

23083214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 23083214 is about 4804.4993495681. The cubic root of 23083214 is about 284.7292555501.

The spelling of 23083214 in words is "twenty-three million, eighty-three thousand, two hundred fourteen".

Divisors: 1 2 7 11 14 19 22 23 38 46 49 77 98 133 154 161 209 253 266 322 343 418 437 506 539 686 874 931 1078 1127 1463 1771 1862 2254 2401 2926 3059 3542 3773 4802 4807 6118 6517 7546 7889 9614 10241 12397 13034 15778 20482 21413 24794 26411 33649 42826 45619 52822 55223 67298 71687 86779 91238 110446 143374 149891 173558 235543 299782 471086 501809 607453 1003618 1049237 1214906 1648801 2098474 3297602 11541607 23083214