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220004242400022 = 23313749165108081
BaseRepresentation
bin110010000001011110111010…
…101101111010001100010110
31001211222012101220220210222220
4302001132322231322030112
5212314022142023300042
62055524315333003210
764224532135212543
oct6201367255721426
91054865356823886
10220004242400022
1164111303377303
1220812367783506
13959b407475692
143c48395493bca
151a67c365cc8ec
hexc817bab7a316

220004242400022 has 64 divisors (see below), whose sum is σ = 467428109211648. Its totient is φ = 68910391872000.

The previous prime is 220004242399979. The next prime is 220004242400057.

220004242400022 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 220004242399965 and 220004242400001.

It is a congruent number.

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, 29174979 + ... + 35933102.

It is an arithmetic number, because the mean of its divisors is an integer number (7303564206432).

Almost surely, 2220004242400022 is an apocalyptic number.

220004242400022 is an abundant number, since it is smaller than the sum of its proper divisors (247423866811626).

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

220004242400022 is a wasteful number, since it uses less digits than its factorization.

220004242400022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65108645.

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

The spelling of 220004242400022 in words is "two hundred twenty trillion, four billion, two hundred forty-two million, four hundred thousand, twenty-two".

Divisors: 1 2 3 6 31 37 62 74 93 111 186 222 491 982 1147 1473 2294 2946 3441 6882 15221 18167 30442 36334 45663 54501 91326 109002 563177 1126354 1689531 3379062 65108081 130216162 195324243 390648486 2018350511 2408998997 4036701022 4817997994 6055051533 7226996991 12110103066 14453993982 31968067771 63936135542 74678968907 95904203313 149357937814 191808406626 224036906721 448073813442 991010100901 1182818507527 1982020201802 2365637015054 2973030302703 3548455522581 5946060605406 7096911045162 36667373733337 73334747466674 110002121200011 220004242400022