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12224443032 = 2332315476901
BaseRepresentation
bin10110110001010001…
…00011001010011000
31011112221110001022100
423120220203022120
5200013424134112
65341004123400
7611635023414
oct133050431230
934487401270
1012224443032
115203419a8a
122451b36560
1311ca7c9659
1483d763d44
154b83072dc
hex2d8a23298

12224443032 has 48 divisors (see below), whose sum is σ = 34175868480. Its totient is φ = 3943368000.

The previous prime is 12224443013. The next prime is 12224443037. The reversal of 12224443032 is 23034442221.

12224443032 is a `hidden beast` number, since 1 + 2 + 224 + 4 + 430 + 3 + 2 = 666.

It is a super-4 number, since 4×122244430324 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12224442987 and 12224443005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12224443037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2736219 + ... + 2740682.

It is an arithmetic number, because the mean of its divisors is an integer number (711997260).

Almost surely, 212224443032 is an apocalyptic number.

12224443032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12224443032 is an abundant number, since it is smaller than the sum of its proper divisors (21951425448).

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

12224443032 is a wasteful number, since it uses less digits than its factorization.

12224443032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5476944 (or 5476937 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 12224443032 its reverse (23034442221), we get a palindrome (35258885253).

The spelling of 12224443032 in words is "twelve billion, two hundred twenty-four million, four hundred forty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 5476901 10953802 16430703 21907604 32861406 43815208 49292109 65722812 98584218 131445624 169783931 197168436 339567862 394336872 509351793 679135724 1018703586 1358271448 1528055379 2037407172 3056110758 4074814344 6112221516 12224443032