Search a number
-
+
226600536 = 233194797109
BaseRepresentation
bin11011000000110…
…10011001011000
3120210101111111110
431200122121120
5431002204121
634252500320
75421033651
oct1540323130
9523344443
10226600536
11106a01378
1263a7a6a0
1337c3bb76
1422148528
1514d60d76
hexd81a658

226600536 has 128 divisors (see below), whose sum is σ = 620928000. Its totient is φ = 68677632.

The previous prime is 226600529. The next prime is 226600553. The reversal of 226600536 is 635006622.

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, 2078850 + ... + 2078958.

It is an arithmetic number, because the mean of its divisors is an integer number (4851000).

Almost surely, 2226600536 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 226600536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310464000).

226600536 is an abundant number, since it is smaller than the sum of its proper divisors (394327464).

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

226600536 is a wasteful number, since it uses less digits than its factorization.

226600536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 226600536 is about 15053.2566576140. The cubic root of 226600536 is about 609.6589834496.

The spelling of 226600536 in words is "two hundred twenty-six million, six hundred thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 47 57 76 94 97 109 114 141 152 188 194 218 228 282 291 327 376 388 436 456 564 582 654 776 872 893 1128 1164 1308 1786 1843 2071 2328 2616 2679 3572 3686 4142 4559 5123 5358 5529 6213 7144 7372 8284 9118 10246 10573 10716 11058 12426 13677 14744 15369 16568 18236 20492 21146 21432 22116 24852 27354 30738 31719 36472 40984 42292 44232 49704 54708 61476 63438 84584 86621 97337 109416 122952 126876 173242 194674 200887 253752 259863 292011 346484 389348 401774 496931 519726 584022 602661 692968 778696 803548 993862 1039452 1168044 1205322 1490793 1607096 1987724 2078904 2336088 2410644 2981586 3975448 4821288 5963172 9441689 11926344 18883378 28325067 37766756 56650134 75533512 113300268 226600536