Search a number
-
+
226266463024 = 24743313367409
BaseRepresentation
bin1101001010111010001…
…0000011101100110000
3210122000220021020222021
43102232202003230300
512201343203304044
6251540111321224
722230044126260
oct3225642035460
9718026236867
10226266463024
1187a60579688
1237a28220214
131844c04a7a4
14ad467397a0
155d4440ee84
hex34ae883b30

226266463024 has 160 divisors (see below), whose sum is σ = 516970403840. Its totient is φ = 93926117376.

The previous prime is 226266463013. The next prime is 226266463037. The reversal of 226266463024 is 420364662622.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 553218532 + ... + 553218940.

It is an arithmetic number, because the mean of its divisors is an integer number (3231065024).

Almost surely, 2226266463024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226266463024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258485201920).

226266463024 is an abundant number, since it is smaller than the sum of its proper divisors (290703940816).

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

226266463024 is a wasteful number, since it uses less digits than its factorization.

226266463024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 43.

The spelling of 226266463024 in words is "two hundred twenty-six billion, two hundred sixty-six million, four hundred sixty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 301 313 344 367 409 602 626 688 734 818 1204 1252 1468 1636 2191 2408 2504 2569 2863 2936 3272 4382 4816 5008 5138 5726 5872 6544 8764 10276 11452 13459 15781 17528 17587 20552 22904 26918 31562 35056 35174 41104 45808 53836 63124 70348 94213 107672 110467 114871 123109 126248 128017 140696 150103 188426 215344 220934 229742 246218 252496 256034 281392 300206 376852 441868 459484 492436 512068 600412 753704 804097 883736 896119 918968 984872 1024136 1050721 1200824 1507408 1608194 1767472 1792238 1837936 1969744 2048272 2101442 2401648 3216388 3584476 4202884 4939453 5504731 6432776 6454429 7168952 8405768 9878906 11009462 12865552 12908858 14337904 16811536 19757812 22018924 25817716 34576171 38533117 39515624 44037848 45181003 46982239 51635432 69152342 77066234 79031248 88075696 90362006 93964478 103270864 138304684 154132468 180724012 187928956 276609368 308264936 328875673 361448024 375857912 553218736 616529872 657751346 722896048 751715824 1315502692 2020236277 2631005384 4040472554 5262010768 8080945108 14141653939 16161890216 28283307878 32323780432 56566615756 113133231512 226266463024