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12235664 = 2471071021
BaseRepresentation
bin101110101011…
…001110010000
3212000122011202
4232223032100
511113020124
61114130332
7206000330
oct56531620
925018152
1012235664
1169a7921
1241209a8
1326c534c
1418a70c0
15111a5ae
hexbab390

12235664 has 40 divisors (see below), whose sum is σ = 27373248. Its totient is φ = 5189760.

The previous prime is 12235661. The next prime is 12235667. The reversal of 12235664 is 46653221.

12235664 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 (12235661) and next prime (12235667).

It is a super-2 number, since 2×122356642 = 299422947041792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12235661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11474 + ... + 12494.

Almost surely, 212235664 is an apocalyptic number.

12235664 is a gapful number since it is divisible by the number (14) 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 12235664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13686624).

12235664 is an abundant number, since it is smaller than the sum of its proper divisors (15137584).

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

12235664 is a wasteful number, since it uses less digits than its factorization.

12235664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1137 counting only the distinct ones).

The product of its digits is 8640, while the sum is 29.

The square root of 12235664 is about 3497.9514004628. The cubic root of 12235664 is about 230.4318540384.

Adding to 12235664 its reverse (46653221), we get a palindrome (58888885).

The spelling of 12235664 in words is "twelve million, two hundred thirty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 107 112 214 428 749 856 1021 1498 1712 2042 2996 4084 5992 7147 8168 11984 14294 16336 28588 57176 109247 114352 218494 436988 764729 873976 1529458 1747952 3058916 6117832 12235664