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12244023200 = 255215305029
BaseRepresentation
bin10110110011100110…
…01111011110100000
31011121022021211020202
423121303033132200
5200033432220300
65342543524332
7612263323433
oct133163173640
934538254222
1012244023200
115213482942
1224585b96a8
131201893956
148421bd81a
154b9dc3ad5
hex2d9ccf7a0

12244023200 has 36 divisors (see below), whose sum is σ = 29890723590. Its totient is φ = 4897608960.

The previous prime is 12244023191. The next prime is 12244023217. The reversal of 12244023200 is 232044221.

It can be written as a sum of positive squares in 3 ways, for example, as 9721171216 + 2522851984 = 98596^2 + 50228^2 .

It is a super-2 number, since 2×122440232002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7651715 + ... + 7653314.

Almost surely, 212244023200 is an apocalyptic number.

12244023200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12244023200 is an abundant number, since it is smaller than the sum of its proper divisors (17646700390).

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

12244023200 is a wasteful number, since it uses less digits than its factorization.

12244023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15305049 (or 15305036 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 12244023200 its reverse (232044221), we get a palindrome (12476067421).

The spelling of 12244023200 in words is "twelve billion, two hundred forty-four million, twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 15305029 30610058 61220116 76525145 122440232 153050290 244880464 306100580 382625725 489760928 612201160 765251450 1224402320 1530502900 2448804640 3061005800 6122011600 12244023200