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223105561530472 = 231719161611534253
BaseRepresentation
bin110010101110100111001111…
…101111100001000001101000
31002020221200110012000012111001
4302232213033233201001220
5213220330142222433342
62110301140253044344
764664562540653545
oct6256471757410150
91066850405005431
10223105561530472
11650a75a0152335
12210334291866b4
1397649c1b8a67a
143d1451c6abbcc
151abd74ac798b7
hexcae9cfbe1068

223105561530472 has 64 divisors (see below), whose sum is σ = 466246030219200. Its totient is φ = 99464216509440.

The previous prime is 223105561530409. The next prime is 223105561530473. The reversal of 223105561530472 is 274035165501322.

It is a happy number.

It is a super-3 number, since 3×2231055615304723 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223105561530473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417335698 + ... + 417869950.

It is an arithmetic number, because the mean of its divisors is an integer number (7285094222175).

Almost surely, 2223105561530472 is an apocalyptic number.

It is an amenable number.

223105561530472 is an abundant number, since it is smaller than the sum of its proper divisors (243140468688728).

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

223105561530472 is a wasteful number, since it uses less digits than its factorization.

223105561530472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695906 (or 695902 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 46.

The spelling of 223105561530472 in words is "two hundred twenty-three trillion, one hundred five billion, five hundred sixty-one million, five hundred thirty thousand, four hundred seventy-two".

Divisors: 1 2 4 8 17 19 34 38 68 76 136 152 323 646 1292 2584 161611 323222 534253 646444 1068506 1292888 2137012 2747387 3070609 4274024 5494774 6141218 9082301 10150807 10989548 12282436 18164602 20301614 21979096 24564872 36329204 40603228 52200353 72658408 81206456 104400706 172563719 208801412 345127438 417602824 690254876 1380509752 86341161583 172682323166 345364646332 690729292664 1467799746911 1640482070077 2935599493822 3280964140154 5871198987644 6561928280308 11742397975288 13123856560616 27888195191309 55776390382618 111552780765236 223105561530472