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20022213200 = 24521119723099
BaseRepresentation
bin10010101001011010…
…101011101001010000
31220200101022211000212
4102221122223221100
5312001141310300
613110441303252
71306112001263
oct225132535120
956611284025
1020022213200
118545021140
123a69494b28
131b71184542
14d7d228cda
157c2ba7935
hex4a96aba50

20022213200 has 120 divisors (see below), whose sum is σ = 52745061600. Its totient is φ = 7243532800.

The previous prime is 20022213191. The next prime is 20022213203. The reversal of 20022213200 is 231222002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20022213203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 855251 + ... + 878349.

It is an arithmetic number, because the mean of its divisors is an integer number (439542180).

Almost surely, 220022213200 is an apocalyptic number.

20022213200 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 20022213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26372530800).

20022213200 is an abundant number, since it is smaller than the sum of its proper divisors (32722848400).

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

20022213200 is a wasteful number, since it uses less digits than its factorization.

20022213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23325 (or 23314 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 20022213200 its reverse (231222002), we get a palindrome (20253435202).

The spelling of 20022213200 in words is "twenty billion, twenty-two million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 197 200 220 275 394 400 440 550 788 880 985 1100 1576 1970 2167 2200 3152 3940 4334 4400 4925 7880 8668 9850 10835 15760 17336 19700 21670 23099 34672 39400 43340 46198 54175 78800 86680 92396 108350 115495 173360 184792 216700 230990 254089 369584 433400 461980 508178 577475 866800 923960 1016356 1154950 1270445 1847920 2032712 2309900 2540890 4065424 4550503 4619800 5081780 6352225 9101006 9239600 10163560 12704450 18202012 20327120 22752515 25408900 36404024 45505030 50055533 50817800 72808048 91010060 100111066 101635600 113762575 182020120 200222132 227525150 250277665 364040240 400444264 455050300 500555330 800888528 910100600 1001110660 1251388325 1820201200 2002221320 2502776650 4004442640 5005553300 10011106600 20022213200