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226142095935 = 35723076471549
BaseRepresentation
bin1101001010011100011…
…1101000101000111111
3210121201020020202101210
43102213013220220333
512201114334032220
6251515505535503
722224004046100
oct3224707505077
9717636222353
10226142095935
11879a7354868
12379b2644593
131842c354bb2
14ad340043a7
155d385456e0
hex34a71e8a3f

226142095935 has 96 divisors (see below), whose sum is σ = 423197913600. Its totient is φ = 102816822528.

The previous prime is 226142095913. The next prime is 226142095969. The reversal of 226142095935 is 539590241622.

It is a Cunningham number, because it is equal to 4755442-1.

It is not a de Polignac number, because 226142095935 - 27 = 226142095807 is a prime.

It is a super-2 number, since 2×2261420959352 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145991541 + ... + 145993089.

It is an arithmetic number, because the mean of its divisors is an integer number (4408311600).

Almost surely, 2226142095935 is an apocalyptic number.

226142095935 is a deficient number, since it is larger than the sum of its proper divisors (197055817665).

226142095935 is a wasteful number, since it uses less digits than its factorization.

226142095935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 226142095935 in words is "two hundred twenty-six billion, one hundred forty-two million, ninety-five thousand, nine hundred thirty-five".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 307 647 735 921 1535 1549 1941 2149 3235 4529 4605 4647 6447 7745 9705 10745 10843 13587 15043 22645 23235 31703 32235 32529 45129 54215 67935 75215 75901 95109 158515 162645 198629 225645 227703 379505 475543 475545 595887 993145 1002203 1138515 1390403 1426629 2377715 2979435 3006609 3328801 4171209 5011015 6952015 7015421 7133145 9732821 9986403 15033045 16644005 20856045 21046263 23301607 29198463 35077105 48664105 49107947 49932015 69904821 105231315 116508035 145992315 147323841 245539735 307676321 349524105 736619205 923028963 1538381605 2153734247 4615144815 6461202741 10768671235 15076139729 32306013705 45228419187 75380698645 226142095935