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13822218 = 2332331359
BaseRepresentation
bin110100101110…
…100100001010
3222000020112000
4310232210022
512014302333
61212131430
7225326004
oct64564412
928006460
1013822218
117890923
124766b76
132b2c537
141b9b374
151330713
hexd2e90a

13822218 has 64 divisors (see below), whose sum is σ = 33177600. Its totient is φ = 4253040.

The previous prime is 13822217. The next prime is 13822223. The reversal of 13822218 is 81222831.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13822191 and 13822200.

It is not an unprimeable number, because it can be changed into a prime (13822217) 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 31 ways as a sum of consecutive naturals, for example, 38323 + ... + 38681.

It is an arithmetic number, because the mean of its divisors is an integer number (518400).

Almost surely, 213822218 is an apocalyptic number.

13822218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13822218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16588800).

13822218 is an abundant number, since it is smaller than the sum of its proper divisors (19355382).

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

13822218 is a wasteful number, since it uses less digits than its factorization.

13822218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 418 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 13822218 is about 3717.8243637913. The cubic root of 13822218 is about 239.9896870569.

It can be divided in two parts, 1382 and 2218, that added together give a square (3600 = 602).

The spelling of 13822218 in words is "thirteen million, eight hundred twenty-two thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 18 23 27 31 46 54 62 69 93 138 186 207 279 359 414 558 621 713 718 837 1077 1242 1426 1674 2139 2154 3231 4278 6417 6462 8257 9693 11129 12834 16514 19251 19386 22258 24771 33387 38502 49542 66774 74313 100161 148626 200322 222939 255967 300483 445878 511934 600966 767901 1535802 2303703 4607406 6911109 13822218