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226577423240 = 235717175927061
BaseRepresentation
bin1101001100000100010…
…0010001101110001000
3210122211120101200012022
43103001010101232020
512203012310020430
6252031020304012
722240541214650
oct3230104215610
9718746350168
10226577423240
11881000596a3
1237ab43a2008
131849b5b520c
14ad75b63360
155d618864e5
hex34c1111b88

226577423240 has 128 divisors (see below), whose sum is σ = 617273395200. Its totient is φ = 73069793280.

The previous prime is 226577423239. The next prime is 226577423299. The reversal of 226577423240 is 42324775622.

It is a junction number, because it is equal to n+sod(n) for n = 226577423191 and 226577423200.

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, 8359310 + ... + 8386370.

It is an arithmetic number, because the mean of its divisors is an integer number (4822448400).

Almost surely, 2226577423240 is an apocalyptic number.

226577423240 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 226577423240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308636697600).

226577423240 is an abundant number, since it is smaller than the sum of its proper divisors (390695971960).

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

226577423240 is a wasteful number, since it uses less digits than its factorization.

226577423240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28855 (or 28851 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 44.

The spelling of 226577423240 in words is "two hundred twenty-six billion, five hundred seventy-seven million, four hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 1759 2380 3518 4760 7036 8795 12313 14072 17590 24626 27061 29903 35180 49252 54122 59806 61565 70360 98504 108244 119612 123130 135305 149515 189427 209321 216488 239224 246260 270610 299030 378854 418642 460037 492520 541220 598060 757708 837284 920074 947135 1046605 1082440 1196120 1515416 1674568 1840148 1894270 2093210 2300185 3220259 3680296 3788540 4186420 4600370 6440518 7577080 8372840 9200740 12881036 16101295 18401480 25762072 32202590 47600299 64405180 95200598 128810360 190401196 238001495 333202093 380802392 476002990 666404186 809205083 952005980 1332808372 1618410166 1666010465 1904011960 2665616744 3236820332 3332020930 4046025415 5664435581 6473640664 6664041860 8092050830 11328871162 13328083720 16184101660 22657742324 28322177905 32368203320 45315484648 56644355810 113288711620 226577423240