Search a number
-
+
226605213344 = 25171960136479
BaseRepresentation
bin1101001100001010111…
…0010010011010100000
3210122220111200120001102
43103002232102122200
512203041413311334
6252033452053532
722241326350446
oct3230256223240
9718814616042
10226605213344
118811480a824
1237b017642a8
13184a4295373
14ad79718b96
155d6402567e
hex34c2b926a0

226605213344 has 96 divisors (see below), whose sum is σ = 498074572800. Its totient is φ = 100854374400.

The previous prime is 226605213337. The next prime is 226605213349. The reversal of 226605213344 is 443312506622.

226605213344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 226605213298 and 226605213307.

It is not an unprimeable number, because it can be changed into a prime (226605213349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6193697 + ... + 6230175.

It is an arithmetic number, because the mean of its divisors is an integer number (5188276800).

Almost surely, 2226605213344 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 226605213344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249037286400).

226605213344 is an abundant number, since it is smaller than the sum of its proper divisors (271469359456).

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

226605213344 is a wasteful number, since it uses less digits than its factorization.

226605213344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37126 (or 37118 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

Adding to 226605213344 its reverse (443312506622), we get a palindrome (669917719966).

The spelling of 226605213344 in words is "two hundred twenty-six billion, six hundred five million, two hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 304 323 544 601 608 646 1202 1292 2404 2584 4808 5168 9616 10217 10336 11419 19232 20434 22838 36479 40868 45676 72958 81736 91352 145916 163472 182704 194123 291832 326944 365408 388246 583664 620143 693101 776492 1167328 1240286 1386202 1552984 2480572 2772404 3105968 4961144 5544808 6211936 9922288 11089616 11782717 19844576 21923879 22179232 23565434 43847758 47130868 87695516 94261736 175391032 188523472 350782064 372705943 377046944 416553701 701564128 745411886 833107402 1490823772 1666214804 2981647544 3332429608 5963295088 6664859216 7081412917 11926590176 13329718432 14162825834 28325651668 56651303336 113302606672 226605213344