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5140223235 = 3257219122693
BaseRepresentation
bin1001100100110000…
…11001010100000011
3111021020020101200100
410302120121110003
541011344120420
62210020453443
7241244114400
oct46230312403
914236211610
105140223235
1121a8581884
12bb554a283
1363bc16714
1436a9632a7
15201404190
hex132619503

5140223235 has 72 divisors (see below), whose sum is σ = 10909950480. Its totient is φ = 2226123648.

The previous prime is 5140223219. The next prime is 5140223237. The reversal of 5140223235 is 5323220415.

It is a happy number.

5140223235 is a `hidden beast` number, since 5 + 1 + 402 + 23 + 235 = 666.

It is not a de Polignac number, because 5140223235 - 24 = 5140223219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5140223199 and 5140223208.

It is not an unprimeable number, because it can be changed into a prime (5140223237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19452 + ... + 103241.

It is an arithmetic number, because the mean of its divisors is an integer number (151527090).

Almost surely, 25140223235 is an apocalyptic number.

5140223235 is an abundant number, since it is smaller than the sum of its proper divisors (5769727245).

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

5140223235 is a wasteful number, since it uses less digits than its factorization.

5140223235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122737 (or 122727 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5140223235 is about 71695.3501630336. The cubic root of 5140223235 is about 1725.8140228617.

The spelling of 5140223235 in words is "five billion, one hundred forty million, two hundred twenty-three thousand, two hundred thirty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 49 57 63 95 105 133 147 171 245 285 315 399 441 665 735 855 931 1197 1995 2205 2793 4655 5985 8379 13965 41895 122693 368079 613465 858851 1104237 1840395 2331167 2576553 4294255 5521185 6011957 6993501 7729659 11655835 12882765 16318169 18035871 20980503 30059785 34967505 38648295 48954507 54107613 81590845 90179355 104902515 114227183 146863521 244772535 270538065 342681549 571135915 734317605 1028044647 1713407745 5140223235