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22140314000 = 245372695879
BaseRepresentation
bin10100100111101010…
…100110000110010000
32010010222220111002122
4110213222212012100
5330320410022000
614100543433412
71412441364260
oct244752460620
963128814078
1022140314000
1194316a2672
12435a8b5868
13211ac3c21c
1411006677a0
15898ae8085
hex527aa6190

22140314000 has 160 divisors (see below), whose sum is σ = 61421068800. Its totient is φ = 7561459200.

The previous prime is 22140313999. The next prime is 22140314047. The reversal of 22140314000 is 41304122.

It is a self number, because there is not a number n which added to its sum of digits gives 22140314000.

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, 3763061 + ... + 3768939.

It is an arithmetic number, because the mean of its divisors is an integer number (383881680).

Almost surely, 222140314000 is an apocalyptic number.

22140314000 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 22140314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30710534400).

22140314000 is an abundant number, since it is smaller than the sum of its proper divisors (39280754800).

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

22140314000 is a wasteful number, since it uses less digits than its factorization.

22140314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6178 (or 6162 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 22140314000 its reverse (41304122), we get a palindrome (22181618122).

The spelling of 22140314000 in words is "twenty-two billion, one hundred forty million, three hundred fourteen thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 269 280 350 400 500 538 560 700 875 1000 1076 1345 1400 1750 1883 2000 2152 2690 2800 3500 3766 4304 5380 5879 6725 7000 7532 9415 10760 11758 13450 14000 15064 18830 21520 23516 26900 29395 30128 33625 37660 41153 47032 47075 53800 58790 67250 75320 82306 94064 94150 107600 117580 134500 146975 150640 164612 188300 205765 235160 235375 269000 293950 329224 376600 411530 470320 470750 538000 587900 658448 734875 753200 823060 941500 1028825 1175800 1469750 1581451 1646120 1883000 2057650 2351600 2939500 3162902 3292240 3766000 4115300 5144125 5879000 6325804 7907255 8230600 10288250 11070157 11758000 12651608 15814510 16461200 20576500 22140314 25303216 31629020 39536275 41153000 44280628 55350785 63258040 79072550 82306000 88561256 110701570 126516080 158145100 177122512 197681375 221403140 276753925 316290200 395362750 442806280 553507850 632580400 790725500 885612560 1107015700 1383769625 1581451000 2214031400 2767539250 3162902000 4428062800 5535078500 11070157000 22140314000