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220224003014041 = 131719431219692413
BaseRepresentation
bin110010000100101011100101…
…011110000111110110011001
31001212202012122102021200220121
4302010223211132013312121
5212331122224232422131
62100213302121353241
764246442043466255
oct6204534536076631
91055665572250817
10220224003014041
1164196525523274
1220848a79038821
1395b605a6a4c70
143c54c81b45265
151a6d7e9783911
hexc84ae5787d99

220224003014041 has 32 divisors (see below), whose sum is σ = 270478989728640. Its totient is φ = 177040792986624.

The previous prime is 220224003014021. The next prime is 220224003014051. The reversal of 220224003014041 is 140410300422022.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-220224003014041 is a prime.

It is a super-2 number, since 2×2202240030140412 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 220224003013997 and 220224003014015.

It is not an unprimeable number, because it can be changed into a prime (220224003014021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 609665650 + ... + 610026763.

It is an arithmetic number, because the mean of its divisors is an integer number (8452468429020).

Almost surely, 2220224003014041 is an apocalyptic number.

It is an amenable number.

220224003014041 is a deficient number, since it is larger than the sum of its proper divisors (50254986714599).

220224003014041 is a wasteful number, since it uses less digits than its factorization.

220224003014041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219692505.

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 220224003014041 its reverse (140410300422022), we get a palindrome (360634303436063).

The spelling of 220224003014041 in words is "two hundred twenty trillion, two hundred twenty-four billion, three million, fourteen thousand, forty-one".

Divisors: 1 13 17 19 43 221 247 323 559 731 817 4199 9503 10621 13889 180557 1219692413 15856001369 20734771021 23174155847 52446773759 269552023273 301264026011 393960649399 681808058867 891595153903 996488701421 5121488442187 11590737000739 12954353118473 16940307924157 220224003014041