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22340142 = 23211176637
BaseRepresentation
bin101010100111…
…0001000101110
31120000222220200
41111032020232
521204341032
62114454330
7360613416
oct125161056
946028820
1022340142
1111679530
1275943a6
134822626
142d77646
151e6447c
hex154e22e

22340142 has 48 divisors (see below), whose sum is σ = 55918512. Its totient is φ = 6370560.

The previous prime is 22340141. The next prime is 22340147. The reversal of 22340142 is 24104322.

22340142 is a `hidden beast` number, since 223 + 401 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22340141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48 + ... + 6684.

It is an arithmetic number, because the mean of its divisors is an integer number (1164969).

Almost surely, 222340142 is an apocalyptic number.

22340142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22340142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27959256).

22340142 is an abundant number, since it is smaller than the sum of its proper divisors (33578370).

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

22340142 is a wasteful number, since it uses less digits than its factorization.

22340142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6673 (or 6670 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 22340142 is about 4726.5359408345. The cubic root of 22340142 is about 281.6406317140.

Adding to 22340142 its reverse (24104322), we get a palindrome (46444464).

The spelling of 22340142 in words is "twenty-two million, three hundred forty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 6637 13274 19911 39822 59733 73007 112829 119466 146014 219021 225658 338487 438042 657063 676974 1015461 1241119 1314126 2030922 2482238 3723357 7446714 11170071 22340142