Search a number
-
+
13822908 = 223112329157
BaseRepresentation
bin110100101110…
…101110111100
3222000021110120
4310232232330
512014313113
61212134540
7225331011
oct64565674
928007416
1013822908
1178913a0
124767450
132b2c948
141b9b708
151330a23
hexd2ebbc

13822908 has 96 divisors (see below), whose sum is σ = 38223360. Its totient is φ = 3843840.

The previous prime is 13822901. The next prime is 13822927. The reversal of 13822908 is 80922831.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13822901) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87966 + ... + 88122.

It is an arithmetic number, because the mean of its divisors is an integer number (398160).

Almost surely, 213822908 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13822908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19111680).

13822908 is an abundant number, since it is smaller than the sum of its proper divisors (24400452).

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

13822908 is a wasteful number, since it uses less digits than its factorization.

13822908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 13822908 is about 3717.9171588404. The cubic root of 13822908 is about 239.9936803892.

The spelling of 13822908 in words is "thirteen million, eight hundred twenty-two thousand, nine hundred eight".

Divisors: 1 2 3 4 6 11 12 22 23 29 33 44 46 58 66 69 87 92 116 132 138 157 174 253 276 314 319 348 471 506 628 638 667 759 942 957 1012 1276 1334 1518 1727 1884 1914 2001 2668 3036 3454 3611 3828 4002 4553 5181 6908 7222 7337 8004 9106 10362 10833 13659 14444 14674 18212 20724 21666 22011 27318 29348 39721 43332 44022 50083 54636 79442 88044 100166 104719 119163 150249 158884 200332 209438 238326 300498 314157 418876 476652 600996 628314 1151909 1256628 2303818 3455727 4607636 6911454 13822908