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12224333040 = 2435271187951
BaseRepresentation
bin10110110001010000…
…01000010011110000
31011112221020110102120
423120220020103300
5200013412124130
65341001514240
7611634054633
oct133050102360
934487213376
1012224333040
115203354387
122451aa2980
1311ca78b57a
1483d735c1a
154b82d4910
hex2d8a084f0

12224333040 has 80 divisors (see below), whose sum is σ = 38035470336. Its totient is φ = 3247776000.

The previous prime is 12224333039. The next prime is 12224333059. The reversal of 12224333040 is 4033342221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12224333040.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 28936 + ... + 159015.

Almost surely, 212224333040 is an apocalyptic number.

12224333040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12224333040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19017735168).

12224333040 is an abundant number, since it is smaller than the sum of its proper divisors (25811137296).

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

12224333040 is a wasteful number, since it uses less digits than its factorization.

12224333040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188238 (or 188232 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 12224333040 its reverse (4033342221), we get a palindrome (16257675261).

The spelling of 12224333040 in words is "twelve billion, two hundred twenty-four million, three hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 271 542 813 1084 1355 1626 2168 2710 3252 4065 4336 5420 6504 8130 10840 13008 16260 21680 32520 65040 187951 375902 563853 751804 939755 1127706 1503608 1879510 2255412 2819265 3007216 3759020 4510824 5638530 7518040 9021648 11277060 15036080 22554120 45108240 50934721 101869442 152804163 203738884 254673605 305608326 407477768 509347210 611216652 764020815 814955536 1018694420 1222433304 1528041630 2037388840 2444866608 3056083260 4074777680 6112166520 12224333040