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2263986036 = 223213291071559
BaseRepresentation
bin1000011011110001…
…1010111101110100
312211210002101222200
42012330122331310
514114040023121
61012353024500
7110050364244
oct20674327564
95753071880
102263986036
11a61a63244
12532255130
132a1075a10
14176975b24
15d3b5aa26
hex86f1af74

2263986036 has 144 divisors (see below), whose sum is σ = 6439305600. Its totient is φ = 665876736.

The previous prime is 2263985993. The next prime is 2263986061. The reversal of 2263986036 is 6306893622.

2263986036 is a `hidden beast` number, since 2 + 2 + 6 + 39 + 8 + 603 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2263985982 and 2263986000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1451425 + ... + 1452983.

It is an arithmetic number, because the mean of its divisors is an integer number (44717400).

Almost surely, 22263986036 is an apocalyptic number.

2263986036 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2263986036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219652800).

2263986036 is an abundant number, since it is smaller than the sum of its proper divisors (4175319564).

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

2263986036 is a wasteful number, since it uses less digits than its factorization.

2263986036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 2263986036 is about 47581.3622755801. The cubic root of 2263986036 is about 1313.0801858333.

The spelling of 2263986036 in words is "two billion, two hundred sixty-three million, nine hundred eighty-six thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 107 116 117 156 174 214 234 261 321 348 377 428 468 522 642 754 963 1044 1131 1284 1391 1508 1559 1926 2262 2782 3103 3118 3393 3852 4173 4524 4677 5564 6206 6236 6786 8346 9309 9354 12412 12519 13572 14031 16692 18618 18708 20267 25038 27927 28062 37236 40339 40534 45211 50076 55854 56124 60801 80678 81068 90422 111708 121017 121602 135633 161356 166813 180844 182403 242034 243204 271266 333626 363051 364806 406899 484068 500439 542532 587743 667252 726102 729612 813798 1000878 1175486 1452204 1501317 1627596 1763229 2001756 2168569 2350972 3002634 3526458 4337138 4837577 5289687 6005268 6505707 7052916 8674276 9675154 10579374 13011414 14512731 19350308 19517121 21158748 26022828 29025462 39034242 43538193 58050924 62888501 78068484 87076386 125777002 174152772 188665503 251554004 377331006 565996509 754662012 1131993018 2263986036