Search a number
-
+
35022 = 2313449
BaseRepresentation
bin1000100011001110
31210001010
420203032
52110042
6430050
7204051
oct104316
953033
1035022
1124349
1218326
1312c30
14ca98
15a59c
hex88ce

35022 has 16 divisors (see below), whose sum is σ = 75600. Its totient is φ = 10752.

The previous prime is 34981. The next prime is 35023. The reversal of 35022 is 22053.

It is a d-powerful number, because it can be written as 34 + 53 + 0 + 211 + 215 .

It is a plaindrome in base 16.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 34989 and 35007.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 35022.

It is not an unprimeable number, because it can be changed into a prime (35023) by changing a digit.

35022 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147 + ... + 302.

It is an arithmetic number, because the mean of its divisors is an integer number (4725).

235022 is an apocalyptic number.

35022 is an abundant number, since it is smaller than the sum of its proper divisors (40578).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37800).

35022 is a wasteful number, since it uses less digits than its factorization.

35022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467.

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 35022 is about 187.1416575752. The cubic root of 35022 is about 32.7175153291.

Adding to 35022 its reverse (22053), we get a palindrome (57075).

The spelling of 35022 in words is "thirty-five thousand, twenty-two".

Divisors: 1 2 3 6 13 26 39 78 449 898 1347 2694 5837 11674 17511 35022