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22212403314400 = 2552132135808011
BaseRepresentation
bin1010000110011101110100…
…11010001011111011100000
32220122111002120121200211001
411003032322122023323200
510402412000222030100
6115124123123201344
74451536026635305
oct503167232137340
986574076550731
1022212403314400
11709425565a782
1225a8ab4b16254
13c5180b730b60
1456b12c1d50ac
15287be0173d6a
hex1433ba68bee0

22212403314400 has 72 divisors (see below), whose sum is σ = 58397262664104. Its totient is φ = 8201502758400.

The previous prime is 22212403314383. The next prime is 22212403314427. The reversal of 22212403314400 is 441330421222.

It is a super-2 number, since 2×222124033144002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1067893606 + ... + 1067914405.

It is an arithmetic number, because the mean of its divisors is an integer number (811073092557).

Almost surely, 222212403314400 is an apocalyptic number.

22212403314400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22212403314400 is an abundant number, since it is smaller than the sum of its proper divisors (36184859349704).

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

22212403314400 is a wasteful number, since it uses less digits than its factorization.

22212403314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135808044 (or 2135808031 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 22212403314400 its reverse (441330421222), we get a palindrome (22653733735622).

The spelling of 22212403314400 in words is "twenty-two trillion, two hundred twelve billion, four hundred three million, three hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 200 208 260 325 400 416 520 650 800 1040 1300 2080 2600 5200 10400 2135808011 4271616022 8543232044 10679040055 17086464088 21358080110 27765504143 34172928176 42716160220 53395200275 55531008286 68345856352 85432320440 106790400550 111062016572 138827520715 170864640880 213580801100 222124033144 277655041430 341729281760 427161602200 444248066288 555310082860 694137603575 854323204400 888496132576 1110620165720 1388275207150 1708646408800 2221240331440 2776550414300 4442480662880 5553100828600 11106201657200 22212403314400