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12224323320 = 23351129331607
BaseRepresentation
bin10110110001010000…
…00101111011111000
31011112221012222002120
423120220011323320
5200013411321240
65341001401240
7611634014406
oct133050057370
934487188076
1012224323320
115203348050
122451a99220
1311ca787011
1483d732476
154b82d1ad0
hex2d8a05ef8

12224323320 has 128 divisors (see below), whose sum is σ = 40144688640. Its totient is φ = 2953264640.

The previous prime is 12224323301. The next prime is 12224323351. The reversal of 12224323320 is 2332342221.

12224323320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×122243233203 (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370957 + ... + 402563.

It is an arithmetic number, because the mean of its divisors is an integer number (313630380).

Almost surely, 212224323320 is an apocalyptic number.

12224323320 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 12224323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20072344320).

12224323320 is an abundant number, since it is smaller than the sum of its proper divisors (27920365320).

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

12224323320 is a wasteful number, since it uses less digits than its factorization.

12224323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31925 (or 31921 counting only the distinct ones).

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

Adding to 12224323320 its reverse (2332342221), we get a palindrome (14556665541).

The spelling of 12224323320 in words is "twelve billion, two hundred twenty-four million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 293 330 440 586 660 879 1172 1320 1465 1758 2344 2930 3223 3516 4395 5860 6446 7032 8790 9669 11720 12892 16115 17580 19338 25784 31607 32230 35160 38676 48345 63214 64460 77352 94821 96690 126428 128920 158035 189642 193380 252856 316070 347677 379284 386760 474105 632140 695354 758568 948210 1043031 1264280 1390708 1738385 1896420 2086062 2781416 3476770 3792840 4172124 5215155 6953540 8344248 9260851 10430310 13907080 18521702 20860620 27782553 37043404 41721240 46304255 55565106 74086808 92608510 101869361 111130212 138912765 185217020 203738722 222260424 277825530 305608083 370434040 407477444 509346805 555651060 611216166 814954888 1018693610 1111302120 1222432332 1528040415 2037387220 2444864664 3056080830 4074774440 6112161660 12224323320