Search a number
-
+
226634111361 = 32737614673413
BaseRepresentation
bin1101001100010001110…
…0100001100110000001
3210122222112001201200100
43103010130201212001
512203121313030421
6252040403313013
722242130106310
oct3230434414601
9718875051610
10226634111361
118812a058289
1237b0b37b769
13184aa272898
14ad7d4bc277
155d66832c26
hex34c4721981

226634111361 has 96 divisors (see below), whose sum is σ = 391487586048. Its totient is φ = 123637777920.

The previous prime is 226634111339. The next prime is 226634111369. The reversal of 226634111361 is 163111436622.

226634111361 is a `hidden beast` number, since 2 + 2 + 6 + 634 + 1 + 1 + 13 + 6 + 1 = 666.

It is not a de Polignac number, because 226634111361 - 27 = 226634111233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (226634111369) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66401491 + ... + 66404903.

It is an arithmetic number, because the mean of its divisors is an integer number (4077995688).

Almost surely, 2226634111361 is an apocalyptic number.

226634111361 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

226634111361 is a deficient number, since it is larger than the sum of its proper divisors (164853474687).

226634111361 is a wasteful number, since it uses less digits than its factorization.

226634111361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3991 (or 3988 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

Adding to 226634111361 its reverse (163111436622), we get a palindrome (389745547983).

The spelling of 226634111361 in words is "two hundred twenty-six billion, six hundred thirty-four million, one hundred eleven thousand, three hundred sixty-one".

Divisors: 1 3 7 9 21 37 61 63 111 183 259 333 427 467 549 777 1281 1401 2257 2331 3269 3413 3843 4203 6771 9807 10239 15799 17279 20313 23891 28487 29421 30717 47397 51837 71673 85461 120953 126281 142191 155511 199409 208193 215019 256383 362859 378843 598227 624579 883967 1054019 1088577 1136529 1457351 1593871 1794681 1873737 2651901 3162057 4372053 4781613 7378133 7703141 7955703 9486171 11157097 13116159 14344839 22134399 23109423 33471291 53921987 58973227 66403197 69328269 97226131 100413873 161765961 176919681 291678393 412812589 485297883 530759043 680582917 875035179 1238437767 2041748751 3597366847 3715313301 6125246253 10792100541 25181567929 32376301623 75544703787 226634111361