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220222040222022 = 2373101137269913463
BaseRepresentation
bin110010000100101001110000…
…011110101010100101000110
31001212202000120121221112102220
4302010221300132222211012
5212331104214244101042
62100212335244113210
764246342311153456
oct6204516036524506
91055660517845386
10220222040222022
116419570858a603
122084860b835806
1395b5b06b57677
143c54b371b3d66
151a6d7322c08ec
hexc84a707aa946

220222040222022 has 128 divisors (see below), whose sum is σ = 454391387366400. Its totient is φ = 71130020198400.

The previous prime is 220222040222021. The next prime is 220222040222027.

220222040222022 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 220222040221983 and 220222040222001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220222040222021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16357568863 + ... + 16357582325.

It is an arithmetic number, because the mean of its divisors is an integer number (3549932713800).

Almost surely, 2220222040222022 is an apocalyptic number.

220222040222022 is an abundant number, since it is smaller than the sum of its proper divisors (234169347144378).

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

220222040222022 is a wasteful number, since it uses less digits than its factorization.

220222040222022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16478.

The product of its (nonzero) digits is 4096, while the sum is 24.

The spelling of 220222040222022 in words is "two hundred twenty trillion, two hundred twenty-two billion, forty million, two hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 73 101 137 146 202 219 274 303 411 438 606 822 2699 5398 7373 8097 10001 13463 13837 14746 16194 20002 22119 26926 27674 30003 40389 41511 44238 60006 80778 83022 197027 272599 369763 394054 545198 591081 739526 817797 982799 1010101 1109289 1182162 1359763 1635594 1844431 1965598 2020202 2218578 2719526 2948397 3030303 3688862 4079289 5533293 5896794 6060606 8158578 11066586 19899727 26992699 36336637 37346063 39799454 53985398 59699181 72673274 74692126 80978097 99262699 109009911 112038189 119398362 134643463 161956194 186287531 198525398 218019822 224076378 269286926 297788097 372575062 403930389 558862593 595576194 807860778 1117725186 2652574501 2726262599 3670000337 4978119269 5305149002 5452525198 7340000674 7957723503 8178787797 9956238538 11010001011 13598989763 14934357807 15915447006 16357575594 22020002022 27197979526 29868715614 40796969289 81593938578 267910024601 363402706637 502790046169 535820049202 726805413274 803730073803 1005580092338 1090208119911 1508370138507 1607460147606 2180416239822 3016740277014 36703673370337 73407346740674 110111020111011 220222040222022