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220334241001312 = 25471638091110959
BaseRepresentation
bin110010000110010010010000…
…001010101010111101100000
31001220010202012002111200110001
4302012102100022222331200
5212334424011144020222
62100340053012145344
764260423615100204
oct6206222012527540
91056122162450401
10220334241001312
1164229254a41779
1220866303608254
1395c3578299829
143c5a33c798b04
151a715ec6dae27
hexc864902aaf60

220334241001312 has 96 divisors (see below), whose sum is σ = 446281697433600. Its totient is φ = 107029089358848.

The previous prime is 220334241001297. The next prime is 220334241001331. The reversal of 220334241001312 is 213100142433022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197772489 + ... + 198883447.

It is an arithmetic number, because the mean of its divisors is an integer number (4648767681600).

Almost surely, 2220334241001312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220334241001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223140848716800).

220334241001312 is an abundant number, since it is smaller than the sum of its proper divisors (225947456432288).

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

220334241001312 is a wasteful number, since it uses less digits than its factorization.

220334241001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111988 (or 1111980 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 220334241001312 its reverse (213100142433022), we get a palindrome (433434383434334).

The spelling of 220334241001312 in words is "two hundred twenty trillion, three hundred thirty-four billion, two hundred forty-one million, one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 47 94 163 188 326 376 652 752 809 1304 1504 1618 2608 3236 5216 6472 7661 12944 15322 25888 30644 38023 61288 76046 122576 131867 152092 245152 263734 304184 527468 608368 1054936 1110959 1216736 2109872 2221918 4219744 4443836 6197749 8887672 12395498 17775344 24790996 35550688 49581992 52215073 99163984 104430146 181086317 198327968 208860292 362172634 417720584 724345268 835441168 898765831 1448690536 1670882336 1797531662 2897381072 3595063324 5794762144 7190126648 8511056899 14380253296 17022113798 28760506592 34044227596 42241994057 68088455192 84483988114 136176910384 146498830453 168967976228 272353820768 292997660906 337935952456 585995321812 675871904912 1171990643624 1351743809824 2343981287248 4687962574496 6885445031291 13770890062582 27541780125164 55083560250328 110167120500656 220334241001312