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222414100020329 = 72171854911439443
BaseRepresentation
bin110010100100100011010001…
…011011001011110001101001
31002011111120200001012000212012
4302210203101123023301221
5213123013034101122304
62105011343233125305
764563613511052500
oct6244432133136151
91064446601160765
10222414100020329
1164960321157528
1220b414140b9835
1397147376a3cb9
143cccc853a5837
151aaa77b5da16e
hexca48d16cbc69

222414100020329 has 24 divisors (see below), whose sum is σ = 273947485455648. Its totient is φ = 179425408901760.

The previous prime is 222414100020239. The next prime is 222414100020337. The reversal of 222414100020329 is 923020001414222.

It is not a de Polignac number, because 222414100020329 - 224 = 222414083243113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 222414100020295 and 222414100020304.

It is not an unprimeable number, because it can be changed into a prime (222414100020929) 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 23 ways as a sum of consecutive naturals, for example, 153794282 + ... + 155233724.

It is an arithmetic number, because the mean of its divisors is an integer number (11414478560652).

Almost surely, 2222414100020329 is an apocalyptic number.

It is an amenable number.

222414100020329 is a deficient number, since it is larger than the sum of its proper divisors (51533385435319).

222414100020329 is a wasteful number, since it uses less digits than its factorization.

222414100020329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624965 (or 1624958 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 222414100020329 in words is "two hundred twenty-two trillion, four hundred fourteen billion, one hundred million, twenty thousand, three hundred twenty-nine".

Divisors: 1 7 17 49 119 833 185491 1298437 1439443 3153347 9089059 10076101 22073429 24470531 70532707 154514003 171293717 1199056019 267003721513 1869026050591 4539063265721 13083182354137 31773442860047 222414100020329