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22231031114000 = 245347538143951
BaseRepresentation
bin1010000111000000100001…
…01101100110100100010000
32220201021011210002221222202
411003200100231212210100
510403213122431122000
6115140443353422332
74453065450422042
oct503402055464420
986637153087882
1022231031114000
1170a1144558285
1225b063340a9a8
13c534b9a41597
1456bdb8163a92
152884306dbdd5
hex143810b66910

22231031114000 has 160 divisors (see below), whose sum is σ = 54909800404992. Its totient is φ = 8701396800000.

The previous prime is 22231031113937. The next prime is 22231031114003. The reversal of 22231031114000 is 41113013222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (22231031114003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505792025 + ... + 505835975.

Almost surely, 222231031114000 is an apocalyptic number.

22231031114000 is a gapful number since it is divisible by the number (20) 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 22231031114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27454900202496).

22231031114000 is an abundant number, since it is smaller than the sum of its proper divisors (32678769290992).

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

22231031114000 is a wasteful number, since it uses less digits than its factorization.

22231031114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49402 (or 49386 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 22231031114000 its reverse (41113013222), we get a palindrome (22272144127222).

The spelling of 22231031114000 in words is "twenty-two trillion, two hundred thirty-one billion, thirty-one million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 125 188 200 235 250 376 400 470 500 752 940 1000 1175 1880 2000 2350 3760 4700 5381 5875 9400 10762 11750 18800 21524 23500 26905 43048 43951 47000 53810 86096 87902 94000 107620 134525 175804 215240 219755 252907 269050 351608 430480 439510 505814 538100 672625 703216 879020 1011628 1076200 1098775 1264535 1345250 1758040 2023256 2065697 2152400 2197550 2529070 2690500 3516080 4046512 4131394 4395100 5058140 5381000 5493875 6322675 8262788 8790200 10116280 10328485 10762000 10987750 12645350 16525576 17580400 20232560 20656970 21975500 25290700 31613375 33051152 41313940 43951000 50581400 51642425 63226750 82627880 87902000 101162800 103284850 126453500 165255760 206569700 236500331 252907000 258212125 413139400 473000662 505814000 516424250 826278800 946001324 1032848500 1182501655 1892002648 2065697000 2365003310 3784005296 4131394000 4730006620 5912508275 9460013240 11115515557 11825016550 18920026480 22231031114 23650033100 29562541375 44462062228 47300066200 55577577785 59125082750 88924124456 94600132400 111155155570 118250165500 177848248912 222310311140 236500331000 277887888925 444620622280 473000662000 555775777850 889241244560 1111551555700 1389439444625 2223103111400 2778878889250 4446206222800 5557757778500 11115515557000 22231031114000