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223112422401000 = 23353116760982497
BaseRepresentation
bin110010101110101101101000…
…101011101010001111101000
31002020222100011022221112111220
4302232231220223222033220
5213220433220113313000
62110304233141222040
764665224550256536
oct6256555053521750
91066870138845456
10223112422401000
11650aa4a0a09970
1221034822a01920
1397655463cc582
143d149ad96d156
151abd9ed2601a0
hexcaeb68aea3e8

223112422401000 has 128 divisors (see below), whose sum is σ = 759393554175360. Its totient is φ = 54087859968000.

The previous prime is 223112422400983. The next prime is 223112422401049. The reversal of 223112422401000 is 104224211322.

It is a super-3 number, since 3×2231124224010003 (a number of 44 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3380458249 + ... + 3380524248.

It is an arithmetic number, because the mean of its divisors is an integer number (5932762141995).

Almost surely, 2223112422401000 is an apocalyptic number.

223112422401000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223112422401000 is an abundant number, since it is smaller than the sum of its proper divisors (536281131774360).

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

223112422401000 is a wasteful number, since it uses less digits than its factorization.

223112422401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6760982532 (or 6760982518 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 223112422401000 its reverse (104224211322), we get a palindrome (223216646612322).

The spelling of 223112422401000 in words is "two hundred twenty-three trillion, one hundred twelve billion, four hundred twenty-two million, four hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 6760982497 13521964994 20282947491 27043929988 33804912485 40565894982 54087859976 67609824970 74370807467 81131789964 101414737455 135219649940 148741614934 162263579928 169024562425 202829474910 223112422401 270439299880 297483229868 338049124850 371854037335 405658949820 446224844802 507073687275 594966459736 676098249700 743708074670 811317899640 845122812125 892449689604 1014147374550 1115562112005 1352196499400 1487416149340 1690245624250 1784899379208 1859270186675 2028294749100 2231124224010 2535368436375 2974832298680 3380491248500 3718540373350 4056589498200 4462248448020 5070736872750 5577810560025 6760982497000 7437080746700 8924496896040 9296350933375 10141473745500 11155621120050 14874161493400 18592701866750 20282947491000 22311242240100 27889052800125 37185403733500 44622484480200 55778105600250 74370807467000 111556211200500 223112422401000