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22210342000 = 2453711144223
BaseRepresentation
bin10100101011110101…
…101110110001110000
32010022212200021110021
4110223311232301300
5330441321421000
614111524413224
71414251535450
oct245365566160
963285607407
1022210342000
119468182750
12437a247214
13212c5ba702
141109a95d60
1589ed2c11a
hex52bd6ec70

22210342000 has 160 divisors (see below), whose sum is σ = 66956857344. Its totient is φ = 6922656000.

The previous prime is 22210341941. The next prime is 22210342001. The reversal of 22210342000 is 24301222.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22210342001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81889 + ... + 226111.

Almost surely, 222210342000 is an apocalyptic number.

22210342000 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 22210342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33478428672).

22210342000 is an abundant number, since it is smaller than the sum of its proper divisors (44746515344).

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

22210342000 is a wasteful number, since it uses less digits than its factorization.

22210342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144264 (or 144248 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 22210342000 its reverse (24301222), we get a palindrome (22234643222).

The spelling of 22210342000 in words is "twenty-two billion, two hundred ten million, three hundred forty-two thousand".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 50 55 56 70 77 80 88 100 110 112 125 140 154 175 176 200 220 250 275 280 308 350 385 400 440 500 550 560 616 700 770 875 880 1000 1100 1232 1375 1400 1540 1750 1925 2000 2200 2750 2800 3080 3500 3850 4400 5500 6160 7000 7700 9625 11000 14000 15400 19250 22000 30800 38500 77000 144223 154000 288446 576892 721115 1009561 1153784 1442230 1586453 2019122 2307568 2884460 3172906 3605575 4038244 5047805 5768920 6345812 7211150 7932265 8076488 10095610 11105171 11537840 12691624 14422300 15864530 16152976 18027875 20191220 22210342 25239025 25383248 28844600 31729060 36055750 39661325 40382440 44420684 50478050 55525855 57689200 63458120 72111500 79322650 80764880 88841368 100956100 111051710 126195125 126916240 144223000 158645300 177682736 198306625 201912200 222103420 252390250 277629275 288446000 317290600 396613250 403824400 444206840 504780500 555258550 634581200 793226500 888413680 1009561000 1110517100 1388146375 1586453000 2019122000 2221034200 2776292750 3172906000 4442068400 5552585500 11105171000 22210342000