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221222021220222 = 231129479241296437
BaseRepresentation
bin110010010011001101000011…
…111111011100011101111110
31002000021121201000121120100120
4302103031003333130131332
5212444000144413021342
62102255554335235410
764411522625331621
oct6223150377343576
91060247630546316
10221222021220222
1164540806807130
122098a387378b66
1396591bb1cc229
143c8b2bacb1db8
151a8975c031aec
hexc93343fdc77e

221222021220222 has 64 divisors (see below), whose sum is σ = 500352293836800. Its totient is φ = 64590229988480.

The previous prime is 221222021220203. The next prime is 221222021220229. The reversal of 221222021220222 is 222022120222122.

It is a junction number, because it is equal to n+sod(n) for n = 221222021220192 and 221222021220201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221222021220229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119731413 + ... + 121565024.

It is an arithmetic number, because the mean of its divisors is an integer number (7818004591200).

Almost surely, 2221222021220222 is an apocalyptic number.

221222021220222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221222021220222 is an abundant number, since it is smaller than the sum of its proper divisors (279130272616578).

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

221222021220222 is a wasteful number, since it uses less digits than its factorization.

221222021220222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241296961.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 221222021220222 its reverse (222022120222122), we get a palindrome (443244141442344).

The spelling of 221222021220222 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, twenty-one million, two hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 479 638 957 958 1437 1914 2874 5269 10538 13891 15807 27782 31614 41673 83346 152801 305602 458403 916806 241296437 482592874 723889311 1447778622 2654260807 5308521614 6997596673 7962782421 13995193346 15925564842 20992790019 41985580038 76973563403 115580993323 153947126806 230920690209 231161986646 346742979969 461841380418 693485959938 1271390926553 2542781853106 3351848806367 3814172779659 6703697612734 7628345559318 10055546419101 20111092838202 36870336870037 73740673740074 110611010610111 221222021220222