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220000221122020 = 225435317327899903
BaseRepresentation
bin110010000001011011001011…
…000001111100110111100100
31001211221211000200011201121121
4302001123023001330313210
5212313440423101401040
62055522412323023324
764224330366005143
oct6201331301746744
91054854020151547
10220000221122020
116410a62a47a659
1220811624b0ab44
13959ac16313c41
143c480d33a175a
151a67a9d552c4a
hexc816cb07cde4

220000221122020 has 96 divisors (see below), whose sum is σ = 484448576274432. Its totient is φ = 83844339091968.

The previous prime is 220000221121979. The next prime is 220000221122023. The reversal of 220000221122020 is 20221122000022.

It is a super-3 number, since 3×2200002211220203 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220000221121985 and 220000221122003.

It is not an unprimeable number, because it can be changed into a prime (220000221122023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6064612 + ... + 21835291.

It is an arithmetic number, because the mean of its divisors is an integer number (5046339336192).

Almost surely, 2220000221122020 is an apocalyptic number.

220000221122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220000221122020 is an abundant number, since it is smaller than the sum of its proper divisors (264448355152412).

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

220000221122020 is a wasteful number, since it uses less digits than its factorization.

220000221122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27900181 (or 27900179 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 220000221122020 its reverse (20221122000022), we get a palindrome (240221343122042).

The spelling of 220000221122020 in words is "two hundred twenty trillion, two hundred twenty-one million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 43 53 86 106 172 173 212 215 265 346 430 530 692 860 865 1060 1730 2279 3460 4558 7439 9116 9169 11395 14878 18338 22790 29756 36676 37195 45580 45845 74390 91690 148780 183380 394267 788534 1577068 1971335 3942670 7885340 27899903 55799806 111599612 139499515 278999030 557998060 1199695829 1478694859 2399391658 2957389718 4798783316 4826683219 5914779436 5998479145 7393474295 9653366438 11996958290 14786948590 19306732876 23993916580 24133416095 29573897180 48266832190 63583878937 96533664380 127167757874 207547378417 254335515748 255814210607 317919394685 415094756834 511628421214 635838789370 830189513668 1023256842428 1037736892085 1271677578740 1279071053035 2075473784170 2558142106070 4150947568340 5116284212140 11000011056101 22000022112202 44000044224404 55000055280505 110000110561010 220000221122020