Search a number
-
+
226117007580 = 223543233376147
BaseRepresentation
bin1101001010010110011…
…1111011100011011100
3210121122111001010122110
43102211213323203130
512201041423220310
6251513212114020
722223250565152
oct3224547734334
9717574033573
10226117007580
1187994179592
12379a6165910
13184270ac709
14ad309533d2
155d3623bd20
hex34a59fb8dc

226117007580 has 96 divisors (see below), whose sum is σ = 650633727744. Its totient is φ = 58642665984.

The previous prime is 226117007551. The next prime is 226117007591. The reversal of 226117007580 is 85700711622.

It is a super-2 number, since 2×2261170075802 (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 31 ways as a sum of consecutive naturals, for example, 413067 + ... + 789213.

It is an arithmetic number, because the mean of its divisors is an integer number (6777434664).

Almost surely, 2226117007580 is an apocalyptic number.

226117007580 is a gapful number since it is divisible by the number (20) 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 226117007580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325316863872).

226117007580 is an abundant number, since it is smaller than the sum of its proper divisors (424516720164).

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

226117007580 is a wasteful number, since it uses less digits than its factorization.

226117007580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376435 (or 376433 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The spelling of 226117007580 in words is "two hundred twenty-six billion, one hundred seventeen million, seven thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 233 258 430 466 516 645 699 860 932 1165 1290 1398 2330 2580 2796 3495 4660 6990 10019 13980 20038 30057 40076 50095 60114 100190 120228 150285 200380 300570 376147 601140 752294 1128441 1504588 1880735 2256882 3761470 4513764 5642205 7522940 11284410 16174321 22568820 32348642 48522963 64697284 80871605 87642251 97045926 161743210 175284502 194091852 242614815 262926753 323486420 350569004 438211255 485229630 525853506 876422510 970459260 1051707012 1314633765 1752845020 2629267530 3768616793 5258535060 7537233586 11305850379 15074467172 18843083965 22611700758 37686167930 45223401516 56529251895 75372335860 113058503790 226117007580