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223105445256463 = 711231091497756733
BaseRepresentation
bin110010101110100111001000…
…110011111101110100001111
31002020221200011002012212112021
4302232213020303331310033
5213220324422441201323
62110301120540551011
764664556626441350
oct6256471063756417
91066850132185467
10223105445256463
11650a7540555a10
12210333b6252467
1397649a3a69693
143d1450b081d27
151abd74095d05d
hexcae9c8cfdd0f

223105445256463 has 64 divisors (see below), whose sum is σ = 294879999744000. Its totient is φ = 163658357660160.

The previous prime is 223105445256461. The next prime is 223105445256481. The reversal of 223105445256463 is 364652544501322.

It is a happy number.

It is not a de Polignac number, because 223105445256463 - 21 = 223105445256461 is a prime.

It is a super-3 number, since 3×2231054452564633 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 223105445256463.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223105445256461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24884445 + ... + 32641177.

It is an arithmetic number, because the mean of its divisors is an integer number (4607499996000).

Almost surely, 2223105445256463 is an apocalyptic number.

223105445256463 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

223105445256463 is a deficient number, since it is larger than the sum of its proper divisors (71774554487537).

223105445256463 is a wasteful number, since it uses less digits than its factorization.

223105445256463 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7757032.

The product of its (nonzero) digits is 20736000, while the sum is 52.

Adding to 223105445256463 its reverse (364652544501322), we get a palindrome (587757989757785).

The spelling of 223105445256463 in words is "two hundred twenty-three trillion, one hundred five billion, four hundred forty-five million, two hundred fifty-six thousand, four hundred sixty-three".

Divisors: 1 7 11 23 77 109 149 161 253 763 1043 1199 1639 1771 2507 3427 8393 11473 16241 17549 23989 27577 37697 113687 178651 193039 263879 373543 1250557 2614801 4108973 7756733 28762811 54297131 85324063 178404859 597268441 845483897 1155753217 1248834013 1962453449 5918387279 8090272519 9300322867 12713285387 13737174143 19446129631 26582323991 65102260069 88992997709 125977100653 136122907417 186076267937 213907425941 292405563901 881839704571 1385748107183 1497351981587 2046838947307 2897473315019 9700236750281 20282313205133 31872206465209 223105445256463