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222102022120220 = 225112409322423087
BaseRepresentation
bin110010100000000000101000…
…001000011110001100011100
31002010101202010210120002220102
4302200000220020132030130
5213102404420130321340
62104212132124440232
764532225104504304
oct6240005010361434
91063352123502812
10222102022120220
116484aa36332100
1220ab0a399a9078
1396c1191537248
143cbbb1c168604
151aa25b391e215
hexca002821e31c

222102022120220 has 72 divisors (see below), whose sum is σ = 512795483011392. Its totient is φ = 80744635762560.

The previous prime is 222102022120207. The next prime is 222102022120243. The reversal of 222102022120220 is 22021220201222.

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

It is a junction number, because it is equal to n+sod(n) for n = 222102022120192 and 222102022120201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1306484 + ... + 21116603.

Almost surely, 2222102022120220 is an apocalyptic number.

222102022120220 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 222102022120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256397741505696).

222102022120220 is an abundant number, since it is smaller than the sum of its proper divisors (290693460891172).

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

222102022120220 is a wasteful number, since it uses less digits than its factorization.

222102022120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22427211 (or 22427198 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 222102022120220 its reverse (22021220201222), we get a palindrome (244123242321442).

The spelling of 222102022120220 in words is "two hundred twenty-two trillion, one hundred two billion, twenty-two million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 4093 8186 16372 20465 40930 45023 81860 90046 180092 225115 450230 495253 900460 990506 1981012 2476265 4952530 9905060 22423087 44846174 89692348 112115435 224230870 246653957 448461740 493307914 986615828 1233269785 2466539570 2713193527 4933079140 5426387054 10852774108 13565967635 27131935270 54263870540 91777695091 183555390182 367110780364 458888475455 917776950910 1009554646001 1835553901820 2019109292002 4038218584004 5047773230005 10095546460010 11105101106011 20191092920020 22210202212022 44420404424044 55525505530055 111051011060110 222102022120220