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12223000320 = 28353786029
BaseRepresentation
bin10110110001000110…
…00010111100000000
31011112211201202021120
423120203002330000
5200013042002240
65340513152240
7611616534306
oct133043027400
934484652246
1012223000320
115202624063
12245155b680
1311ca412a8b
1483d4aa276
154b811ead0
hex2d88c2f00

12223000320 has 144 divisors (see below), whose sum is σ = 40092732960. Its totient is φ = 3171336192.

The previous prime is 12223000271. The next prime is 12223000327. The reversal of 12223000320 is 2300032221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12223000320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12223000327) 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 15 ways as a sum of consecutive naturals, for example, 99066 + ... + 185094.

Almost surely, 212223000320 is an apocalyptic number.

12223000320 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 12223000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20046366480).

12223000320 is an abundant number, since it is smaller than the sum of its proper divisors (27869732640).

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

12223000320 is an equidigital number, since it uses as much as digits as its factorization.

12223000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86090 (or 86076 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 12223000320 its reverse (2300032221), we get a palindrome (14523032541).

The spelling of 12223000320 in words is "twelve billion, two hundred twenty-three million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 160 185 192 222 240 256 296 320 370 384 444 480 555 592 640 740 768 888 960 1110 1184 1280 1480 1776 1920 2220 2368 2960 3552 3840 4440 4736 5920 7104 8880 9472 11840 14208 17760 23680 28416 35520 47360 71040 86029 142080 172058 258087 344116 430145 516174 688232 860290 1032348 1290435 1376464 1720580 2064696 2580870 2752928 3183073 3441160 4129392 5161740 5505856 6366146 6882320 8258784 9549219 10323480 11011712 12732292 13764640 15915365 16517568 19098438 20646960 22023424 25464584 27529280 31830730 33035136 38196876 41293920 47746095 50929168 55058560 63661460 66070272 76393752 82587840 95492190 101858336 110117120 127322920 152787504 165175680 190984380 203716672 254645840 305575008 330351360 381968760 407433344 509291680 611150016 763937520 814866688 1018583360 1222300032 1527875040 2037166720 2444600064 3055750080 4074333440 6111500160 12223000320