Search a number
-
+
226812724440 = 233517443108359
BaseRepresentation
bin1101001100111100010…
…1111000010011011000
3210200102222011012202120
43103033011320103120
512204003024140230
6252110223501240
722246426230201
oct3231705702330
9720388135676
10226812724440
11882109629a5
1237b5b157820
131850827c3b3
14ad990d45a8
155d77365310
hex34cf1784d8

226812724440 has 64 divisors (see below), whose sum is σ = 680483462400. Its totient is φ = 60479367552.

The previous prime is 226812724417. The next prime is 226812724477. The reversal of 226812724440 is 44427218622.

226812724440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 226812724392 and 226812724401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2038981 + ... + 2147339.

It is an arithmetic number, because the mean of its divisors is an integer number (10632554100).

Almost surely, 2226812724440 is an apocalyptic number.

226812724440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226812724440 is an abundant number, since it is smaller than the sum of its proper divisors (453670737960).

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

226812724440 is a wasteful number, since it uses less digits than its factorization.

226812724440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125816 (or 125812 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 42.

The spelling of 226812724440 in words is "two hundred twenty-six billion, eight hundred twelve million, seven hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 17443 34886 52329 69772 87215 104658 108359 139544 174430 209316 216718 261645 325077 348860 418632 433436 523290 541795 650154 697720 866872 1046580 1083590 1300308 1625385 2093160 2167180 2600616 3250770 4334360 6501540 13003080 1890106037 3780212074 5670318111 7560424148 9450530185 11340636222 15120848296 18901060370 22681272444 28351590555 37802120740 45362544888 56703181110 75604241480 113406362220 226812724440