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12233224332 = 2232748544541
BaseRepresentation
bin10110110010010100…
…00011000010001100
31011120112222011222200
423121022003002030
5200023201134312
65341520241500
7612102456030
oct133112030214
934515864880
1012233224332
11520837755a
122454a70290
1311cc5825a4
148409ac1c0
154b8e8e0dc
hex2d928308c

12233224332 has 36 divisors (see below), whose sum is σ = 35340426576. Its totient is φ = 3495206880.

The previous prime is 12233224273. The next prime is 12233224379. The reversal of 12233224332 is 23342233221.

12233224332 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 322 + 4 + 332 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 12233224296 and 12233224305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24272019 + ... + 24272522.

It is an arithmetic number, because the mean of its divisors is an integer number (981678516).

Almost surely, 212233224332 is an apocalyptic number.

12233224332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12233224332 is an abundant number, since it is smaller than the sum of its proper divisors (23107202244).

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

12233224332 is a wasteful number, since it uses less digits than its factorization.

12233224332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48544558 (or 48544553 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

Adding to 12233224332 its reverse (23342233221), we get a palindrome (35575457553).

The spelling of 12233224332 in words is "twelve billion, two hundred thirty-three million, two hundred twenty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 48544541 97089082 145633623 194178164 291267246 339811787 436900869 582534492 679623574 873801738 1019435361 1359247148 1747603476 2038870722 3058306083 4077741444 6116612166 12233224332