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12234528 = 2532231847
BaseRepresentation
bin101110101010…
…111100100000
3212000120121200
4232222330200
511113001103
61114121200
7205664115
oct56527440
925016550
1012234528
1169a6a89
124120200
1326c4987
1418a690c
15111a0a3
hexbaaf20

12234528 has 72 divisors (see below), whose sum is σ = 36324288. Its totient is φ = 3898752.

The previous prime is 12234527. The next prime is 12234529. The reversal of 12234528 is 82543221.

12234528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12234527) and next prime (12234529).

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (12234527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5701 + ... + 7547.

It is an arithmetic number, because the mean of its divisors is an integer number (504504).

Almost surely, 212234528 is an apocalyptic number.

12234528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12234528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18162144).

12234528 is an abundant number, since it is smaller than the sum of its proper divisors (24089760).

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

12234528 is a wasteful number, since it uses less digits than its factorization.

12234528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1875 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 12234528 is about 3497.7890159356. The cubic root of 12234528 is about 230.4247224629.

Adding to 12234528 its reverse (82543221), we get a palindrome (94777749).

The spelling of 12234528 in words is "twelve million, two hundred thirty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 1847 2208 3312 3694 5541 6624 7388 11082 14776 16623 22164 29552 33246 42481 44328 59104 66492 84962 88656 127443 132984 169924 177312 254886 265968 339848 382329 509772 531936 679696 764658 1019544 1359392 1529316 2039088 3058632 4078176 6117264 12234528