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442225133375223 = 31117978317977107
BaseRepresentation
bin110010010001100111000111…
…1111111000100111011110111
32010222210022100220012102010210
41210203032033333010323313
5430430404033121001343
64204311231025520503
7162101466025431522
oct14443161777047367
92128708326172123
10442225133375223
111189a7698006530
124172223a4a3133
1315c9a8607300b3
147b2bb4c639bb9
15361d455a18333
hex192338ffc4ef7

442225133375223 has 64 divisors (see below), whose sum is σ = 688178821575168. Its totient is φ = 249618846597120.

The previous prime is 442225133375219. The next prime is 442225133375237. The reversal of 442225133375223 is 322573331522244.

It is a happy number.

It is not a de Polignac number, because 442225133375223 - 22 = 442225133375219 is a prime.

It is a super-2 number, since 2×4422251333752232 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442225133375273) 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, 452097636 + ... + 453074742.

It is an arithmetic number, because the mean of its divisors is an integer number (10752794087112).

Almost surely, 2442225133375223 is an apocalyptic number.

442225133375223 is a deficient number, since it is larger than the sum of its proper divisors (245953688199945).

442225133375223 is a wasteful number, since it uses less digits than its factorization.

442225133375223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985552.

The product of its digits is 7257600, while the sum is 48.

Adding to 442225133375223 its reverse (322573331522244), we get a palindrome (764798464897467).

The spelling of 442225133375223 in words is "four hundred forty-two trillion, two hundred twenty-five billion, one hundred thirty-three million, three hundred seventy-five thousand, two hundred twenty-three".

Divisors: 1 3 11 17 33 51 97 187 291 561 1067 1649 3201 4947 8317 18139 24951 54417 91487 141389 274461 424167 806749 977107 1555279 2420247 2931321 4665837 8874239 10748177 13714733 16610819 26622717 32244531 41144199 49832457 94779379 150862063 182719009 284338137 452586189 548157027 1042573169 1611249443 3127719507 4833748329 8126598919 17723743873 24379796757 53171231619 89392588109 138152181623 268177764327 414456544869 788280095143 1519673997853 2364840285429 4559021993559 8671081046573 13400761617431 26013243139719 40202284852293 147408377791741 442225133375223