Search a number
-
+
12135222 = 23211167367
BaseRepresentation
bin101110010010…
…101100110110
3211211112101200
4232102230312
511101311342
61112033330
7205101441
oct56225466
924745350
1012135222
116939410
124092846
13268b708
14187c658
1510ea94c
hexb92b36

12135222 has 48 divisors (see below), whose sum is σ = 28933632. Its totient is φ = 3645360.

The previous prime is 12135217. The next prime is 12135257. The reversal of 12135222 is 22253121.

It is a super-2 number, since 2×121352222 = 294527225978568, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12135195 and 12135204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32883 + ... + 33249.

It is an arithmetic number, because the mean of its divisors is an integer number (602784).

Almost surely, 212135222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12135222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14466816).

12135222 is an abundant number, since it is smaller than the sum of its proper divisors (16798410).

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

12135222 is a wasteful number, since it uses less digits than its factorization.

12135222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 550 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 12135222 is about 3483.5645537294. The cubic root of 12135222 is about 229.7995859714.

Adding to 12135222 its reverse (22253121), we get a palindrome (34388343).

The spelling of 12135222 in words is "twelve million, one hundred thirty-five thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 167 198 334 367 501 734 1002 1101 1503 1837 2202 3006 3303 3674 4037 5511 6606 8074 11022 12111 16533 24222 33066 36333 61289 72666 122578 183867 367734 551601 674179 1103202 1348358 2022537 4045074 6067611 12135222