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35226 = 23219103
BaseRepresentation
bin1000100110011010
31210022200
420212122
52111401
6431030
7204462
oct104632
953280
1035226
1124514
1218476
1313059
14cba2
15a686
hex899a

35226 has 24 divisors (see below), whose sum is σ = 81120. Its totient is φ = 11016.

The previous prime is 35221. The next prime is 35227. The reversal of 35226 is 62253.

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

It is a d-powerful number, because it can be written as 37 + 56 + 210 + 214 + 6 .

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 = 35199 and 35208.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 35226.

It is not an unprimeable number, because it can be changed into a prime (35221) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 291 + ... + 393.

It is an arithmetic number, because the mean of its divisors is an integer number (3380).

235226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40560).

35226 is an abundant number, since it is smaller than the sum of its proper divisors (45894).

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

35226 is a wasteful number, since it uses less digits than its factorization.

35226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 127 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 35226 is about 187.6859078354. The cubic root of 35226 is about 32.7809179113.

Adding to 35226 its reverse (62253), we get a palindrome (97479).

It can be divided in two parts, 352 and 26, that added together give a triangular number (378 = T27).

The spelling of 35226 in words is "thirty-five thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 38 57 103 114 171 206 309 342 618 927 1854 1957 3914 5871 11742 17613 35226