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12232244224 = 210100911839
BaseRepresentation
bin10110110010001100…
…10011110000000000
31011120111010101112101
423121012103300000
5200022423303344
65341443240144
7612061234414
oct133106236000
934514111471
1012232244224
115207868152
122454679054
1311cc2cb445
148407d4d44
154b8d489d4
hex2d9193c00

12232244224 has 44 divisors (see below), whose sum is σ = 24478844800. Its totient is φ = 6109544448.

The previous prime is 12232244221. The next prime is 12232244239. The reversal of 12232244224 is 42244223221.

It is a happy number.

It is a super-3 number, since 3×122322442243 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12232244192 and 12232244201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12232244221) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1027297 + ... + 1039135.

Almost surely, 212232244224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12232244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12239422400).

12232244224 is an abundant number, since it is smaller than the sum of its proper divisors (12246600576).

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

12232244224 is a wasteful number, since it uses less digits than its factorization.

12232244224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12868 (or 12850 counting only the distinct ones).

The product of its digits is 12288, while the sum is 28.

Adding to 12232244224 its reverse (42244223221), we get a palindrome (54476467445).

The spelling of 12232244224 in words is "twelve billion, two hundred thirty-two million, two hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1009 1024 2018 4036 8072 11839 16144 23678 32288 47356 64576 94712 129152 189424 258304 378848 516608 757696 1033216 1515392 3030784 6061568 11945551 12123136 23891102 47782204 95564408 191128816 382257632 764515264 1529030528 3058061056 6116122112 12232244224