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12235272 = 2337671087
BaseRepresentation
bin101110101011…
…001000001000
3212000121122020
4232223020020
511113012042
61114124440
7205666230
oct56531010
925017566
1012235272
1169a75a5
124120720
1326c510a
1418a6cc0
15111a3ec
hexbab208

12235272 has 64 divisors (see below), whose sum is σ = 35512320. Its totient is φ = 3440448.

The previous prime is 12235253. The next prime is 12235277. The reversal of 12235272 is 27253221.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (12235277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10713 + ... + 11799.

It is an arithmetic number, because the mean of its divisors is an integer number (554880).

Almost surely, 212235272 is an apocalyptic number.

12235272 is a gapful number since it is divisible by the number (12) 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 12235272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17756160).

12235272 is an abundant number, since it is smaller than the sum of its proper divisors (23277048).

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

12235272 is a wasteful number, since it uses less digits than its factorization.

12235272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1166 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 12235272 is about 3497.8953672173. The cubic root of 12235272 is about 230.4293931925.

Adding to 12235272 its reverse (27253221), we get a palindrome (39488493).

The spelling of 12235272 in words is "twelve million, two hundred thirty-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 134 168 201 268 402 469 536 804 938 1087 1407 1608 1876 2174 2814 3261 3752 4348 5628 6522 7609 8696 11256 13044 15218 22827 26088 30436 45654 60872 72829 91308 145658 182616 218487 291316 436974 509803 582632 873948 1019606 1529409 1747896 2039212 3058818 4078424 6117636 12235272