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228735890766 = 2361723339607
BaseRepresentation
bin1101010100000110111…
…0001011010101001110
3210212101222221012000000
43111001232023111032
512221422342001031
6253025123545130
722345200664125
oct3250156132516
9725358835000
10228735890766
11890084a1259
12383b722b1a6
1318753834636
14b0dc6acabc
155e3b0ec3e6
hex3541b8b54e

228735890766 has 112 divisors (see below), whose sum is σ = 547031949984. Its totient is φ = 71450491392.

The previous prime is 228735890671. The next prime is 228735890771. The reversal of 228735890766 is 667098537822.

228735890766 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5755335 + ... + 5794941.

Almost surely, 2228735890766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228735890766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273515974992).

228735890766 is an abundant number, since it is smaller than the sum of its proper divisors (318296059218).

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

228735890766 is a wasteful number, since it uses less digits than its factorization.

228735890766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39877 (or 39862 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 228735890766 in words is "two hundred twenty-eight billion, seven hundred thirty-five million, eight hundred ninety thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 233 243 306 459 466 486 699 729 918 1377 1398 1458 2097 2754 3961 4131 4194 6291 7922 8262 11883 12393 12582 18873 23766 24786 35649 37746 39607 56619 71298 79214 106947 113238 118821 169857 213894 237642 320841 339714 356463 641682 673319 712926 962523 1069389 1346638 1925046 2019957 2138778 2887569 3208167 4039914 5775138 6059871 6416334 9228431 9624501 12119742 18179613 18456862 19249002 27685293 28873503 36359226 54538839 55370586 57747006 83055879 109077678 156883327 163616517 166111758 249167637 313766654 327233034 470649981 490849551 498335274 747502911 941299962 981699102 1411949943 1495005822 2242508733 2823899886 4235849829 4485017466 6727526199 8471699658 12707549487 13455052398 25415098974 38122648461 76245296922 114367945383 228735890766