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220021122122200 = 23527241652107653
BaseRepresentation
bin110010000001101110101000…
…110100111100000111011000
31001212000210222022002112202101
4302001232220310330013120
5212314311224230402300
62055540150320013144
764226000341404550
oct6201565064740730
91055023868075671
10220021122122200
1164118485554423
12208156987611b4
13959cb97575579
143c491171c4160
151a683c3446b6a
hexc81ba8d3c1d8

220021122122200 has 96 divisors (see below), whose sum is σ = 587053394436960. Its totient is φ = 75122801510400.

The previous prime is 220021122122183. The next prime is 220021122122201. The reversal of 220021122122200 is 2221221120022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220021122122201) 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, 325716427 + ... + 326391226.

It is an arithmetic number, because the mean of its divisors is an integer number (6115139525385).

Almost surely, 2220021122122200 is an apocalyptic number.

220021122122200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220021122122200 is an abundant number, since it is smaller than the sum of its proper divisors (367032272314760).

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

220021122122200 is a wasteful number, since it uses less digits than its factorization.

220021122122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652107917 (or 652107908 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 220021122122200 its reverse (2221221120022), we get a palindrome (222242343242222).

The spelling of 220021122122200 in words is "two hundred twenty trillion, twenty-one billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 241 280 350 482 700 964 1205 1400 1687 1928 2410 3374 4820 6025 6748 8435 9640 12050 13496 16870 24100 33740 42175 48200 67480 84350 168700 337400 652107653 1304215306 2608430612 3260538265 4564753571 5216861224 6521076530 9129507142 13042153060 16302691325 18259014284 22823767855 26084306120 32605382650 36518028568 45647535710 65210765300 91295071420 114118839275 130421530600 157157944373 182590142840 228237678550 314315888746 456475357100 628631777492 785789721865 912950714200 1100105610611 1257263554984 1571579443730 2200211221222 3143158887460 3928948609325 4400422442444 5500528053055 6286317774920 7857897218650 8800844884888 11001056106110 15715794437300 22002112212220 27502640265275 31431588874600 44004224424440 55005280530550 110010561061100 220021122122200