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12284232 = 233511843
BaseRepresentation
bin101110110111…
…000101001000
3212010002210120
4232313011020
511121043412
61115143240
7206262042
oct56670510
925102716
1012284232
116a30364
124144b20
13271149c
1418baa92
151129b8c
hexbb7148

12284232 has 16 divisors (see below), whose sum is σ = 30710640. Its totient is φ = 4094736.

The previous prime is 12284219. The next prime is 12284243. The reversal of 12284232 is 23248221.

12284232 is digitally balanced in base 2 and base 4, because in such bases 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), and also a Moran number because the ratio is a prime number: 511843 = 12284232 / (1 + 2 + 2 + 8 + 4 + 2 + 3 + 2).

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 255898 + ... + 255945.

It is an arithmetic number, because the mean of its divisors is an integer number (1919415).

Almost surely, 212284232 is an apocalyptic number.

12284232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12284232 is an abundant number, since it is smaller than the sum of its proper divisors (18426408).

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

12284232 is a wasteful number, since it uses less digits than its factorization.

12284232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511852 (or 511848 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 12284232 is about 3504.8868740660. The cubic root of 12284232 is about 230.7363420480.

It can be divided in two parts, 1228 and 4232, that added together give a triangular number (5460 = T104).

The spelling of 12284232 in words is "twelve million, two hundred eighty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 511843 1023686 1535529 2047372 3071058 4094744 6142116 12284232