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222212210022020 = 2252316727411055321
BaseRepresentation
bin110010100001100111001111…
…110101111101011010000100
31002010210021112222112111002102
4302201213033311331122010
5213111211101231201040
62104334514025531232
764543205500303361
oct6241471765753204
91063707488474072
10222212210022020
116489273a551659
1220b0a26b643b18
1396cb6a194383a
143cc31b22a1468
151aa53b2281515
hexca19cfd7d684

222212210022020 has 96 divisors (see below), whose sum is σ = 490029534521856. Its totient is φ = 84480307788800.

The previous prime is 222212210022013. The next prime is 222212210022059. The reversal of 222212210022020 is 20220012212222.

It is a super-3 number, since 3×2222122100220203 (a number of 44 digits) contains 333 as substring.

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 = 222212210021983 and 222212210022001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210035960 + ... + 211091280.

It is an arithmetic number, because the mean of its divisors is an integer number (5104474317936).

Almost surely, 2222212210022020 is an apocalyptic number.

222212210022020 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 222212210022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245014767260928).

222212210022020 is an abundant number, since it is smaller than the sum of its proper divisors (267817324499836).

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

222212210022020 is a wasteful number, since it uses less digits than its factorization.

222212210022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058261 (or 1058259 counting only the distinct ones).

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

Adding to 222212210022020 its reverse (20220012212222), we get a palindrome (242432222234242).

The spelling of 222212210022020 in words is "two hundred twenty-two trillion, two hundred twelve billion, two hundred ten million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 167 230 334 460 668 835 1670 2741 3340 3841 5482 7682 10964 13705 15364 19205 27410 38410 54820 63043 76820 126086 252172 315215 457747 630430 915494 1055321 1260860 1830988 2110642 2288735 4221284 4577470 5276605 9154940 10528181 10553210 21056362 21106420 24272383 42112724 48544766 52640905 97089532 105281810 121361915 176238607 210563620 242723830 352477214 485447660 704954428 881193035 1762386070 2892634861 3524772140 4053487961 5785269722 8106975922 11570539444 14463174305 16213951844 20267439805 28926348610 40534879610 57852697220 66530601803 81069759220 133061203606 266122407212 332653009015 483070021787 665306018030 966140043574 1330612036060 1932280087148 2415350108935 4830700217870 9661400435740 11110610501101 22221221002202 44442442004404 55553052505505 111106105011010 222212210022020