Search a number
-
+
226566630360 = 23335729969131
BaseRepresentation
bin1101001100000001101…
…1000110101111011000
3210122210211002100011000
43103000123012233120
512203002024132420
6252025553105000
722240350403560
oct3230033065730
9718724070130
10226566630360
11880a4a57864
1237ab0858160
13184992a67b5
14ad74553da0
155d60953690
hex34c06c6bd8

226566630360 has 128 divisors (see below), whose sum is σ = 863111001600. Its totient is φ = 51786656640.

The previous prime is 226566630343. The next prime is 226566630373. The reversal of 226566630360 is 63036665622.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 14977006 + ... + 14992125.

It is an arithmetic number, because the mean of its divisors is an integer number (6743054700).

Almost surely, 2226566630360 is an apocalyptic number.

226566630360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226566630360 is an abundant number, since it is smaller than the sum of its proper divisors (636544371240).

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

226566630360 is a wasteful number, since it uses less digits than its factorization.

226566630360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29969158 (or 29969148 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 226566630360 in words is "two hundred twenty-six billion, five hundred sixty-six million, six hundred thirty thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 29969131 59938262 89907393 119876524 149845655 179814786 209783917 239753048 269722179 299691310 359629572 419567834 449536965 539444358 599382620 629351751 719259144 809166537 839135668 899073930 1048919585 1078888716 1198765240 1258703502 1348610895 1618333074 1678271336 1798147860 1888055253 2097839170 2157777432 2517407004 2697221790 3146758755 3236666148 3596295720 3776110506 4045832685 4195678340 5034814008 5394443580 5664165759 6293517510 6473332296 7552221012 8091665370 8391356680 9440276265 10788887160 11328331518 12587035020 15104442024 16183330740 18880552530 22656663036 25174070040 28320828795 32366661480 37761105060 45313326072 56641657590 75522210120 113283315180 226566630360