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12234264 = 233772823
BaseRepresentation
bin101110101010…
…111000011000
3212000120020220
4232222320120
511112444024
61114120040
7205663260
oct56527030
925016226
1012234264
1169a6869
124120020
1326c4813
1418a67a0
151119e79
hexbaae18

12234264 has 32 divisors (see below), whose sum is σ = 34955520. Its totient is φ = 3495456.

The previous prime is 12234239. The next prime is 12234281. The reversal of 12234264 is 46243221.

12234264 = 2172 + 2182 + ... + 3602.

12234264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36244 + ... + 36579.

It is an arithmetic number, because the mean of its divisors is an integer number (1092360).

Almost surely, 212234264 is an apocalyptic number.

12234264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12234264 is an abundant number, since it is smaller than the sum of its proper divisors (22721256).

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

12234264 is a wasteful number, since it uses less digits than its factorization.

12234264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72839 (or 72835 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 12234264 is about 3497.7512776068. The cubic root of 12234264 is about 230.4230650617.

Adding to 12234264 its reverse (46243221), we get a palindrome (58477485).

The spelling of 12234264 in words is "twelve million, two hundred thirty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 72823 145646 218469 291292 436938 509761 582584 873876 1019522 1529283 1747752 2039044 3058566 4078088 6117132 12234264