Search a number
-
+
12223332 = 22331110289
BaseRepresentation
bin101110101000…
…001101100100
3212000000021000
4232220031210
511112121312
61113553300
7205616352
oct56501544
925000230
1012223332
116999630
124115830
1326bc854
1418a27d2
151116adc
hexba8364

12223332 has 48 divisors (see below), whose sum is σ = 34574400. Its totient is φ = 3703680.

The previous prime is 12223313. The next prime is 12223381. The reversal of 12223332 is 23332221.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3957 + ... + 6332.

It is an arithmetic number, because the mean of its divisors is an integer number (720300).

Almost surely, 212223332 is an apocalyptic number.

12223332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12223332 is an abundant number, since it is smaller than the sum of its proper divisors (22351068).

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

12223332 is a wasteful number, since it uses less digits than its factorization.

12223332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10313 (or 10305 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 12223332 is about 3496.1882100368. The cubic root of 12223332 is about 230.3544126386.

Adding to 12223332 its reverse (23332221), we get a palindrome (35555553).

Subtracting 12223332 from its reverse (23332221), we obtain a square (11108889 = 33332).

It can be divided in two parts, 122233 and 32, that added together give a triangular number (122265 = T494).

The spelling of 12223332 in words is "twelve million, two hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 10289 20578 30867 41156 61734 92601 113179 123468 185202 226358 277803 339537 370404 452716 555606 679074 1018611 1111212 1358148 2037222 3055833 4074444 6111666 12223332