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233225130124432 = 24829119314738741
BaseRepresentation
bin110101000001110111110101…
…000010001010010010010000
31010120210002211022122100222101
4311001313311002022102100
5221032130031302440212
62144010051244050144
7100060650066526045
oct6501676502122220
91116702738570871
10233225130124432
1168349249874756
12221a8714233954
13a01a05ca139b4
1441842297251cc
151be6ac2d59157
hexd41df508a490

233225130124432 has 40 divisors (see below), whose sum is σ = 452798031002040. Its totient is φ = 116374261201920.

The previous prime is 233225130124391. The next prime is 233225130124453. The reversal of 233225130124432 is 234421031522332.

It can be written as a sum of positive squares in 4 ways, for example, as 28288612239616 + 204936517884816 = 5318704^2 + 14315604^2 .

It is a super-2 number, since 2×2332251301244322 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233225130124391 and 233225130124400.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8454582 + ... + 23193322.

It is an arithmetic number, because the mean of its divisors is an integer number (11319950775051).

Almost surely, 2233225130124432 is an apocalyptic number.

It is an amenable number.

233225130124432 is a deficient number, since it is larger than the sum of its proper divisors (219572900877608).

233225130124432 is a wasteful number, since it uses less digits than its factorization.

233225130124432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14740771 (or 14740765 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 37.

Adding to 233225130124432 its reverse (234421031522332), we get a palindrome (467646161646764).

The spelling of 233225130124432 in words is "two hundred thirty-three trillion, two hundred twenty-five billion, one hundred thirty million, one hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 829 1193 1658 2386 3316 4772 6632 9544 13264 19088 988997 1977994 3955988 7911976 14738741 15823952 29477482 58954964 117909928 235819856 12218416289 17583318013 24436832578 35166636026 48873665156 70333272052 97747330312 140666544104 195494660624 281333088208 14576570632777 29153141265554 58306282531108 116612565062216 233225130124432