Search a number
-
+
226736403261003 = 32433679771633991
BaseRepresentation
bin110011100011011100101110…
…110001100010011001001011
31002201210210021210021210000100
4303203130232301202121023
5214204322123213323003
62122121133220140443
765521110304314456
oct6343345661423113
91081723253253010
10226736403261003
11662774066a91a9
122151b04a837723
1399691c6c1415c
143ddc1599a249d
151b32e02cd1ba3
hexce372ec6264b

226736403261003 has 48 divisors (see below), whose sum is σ = 336381906871296. Its totient is φ = 147089217703680.

The previous prime is 226736403260947. The next prime is 226736403261103. The reversal of 226736403261003 is 300162304637622.

226736403261003 is a `hidden beast` number, since 2 + 26 + 7 + 3 + 6 + 4 + 0 + 3 + 2 + 610 + 0 + 3 = 666.

It is not a de Polignac number, because 226736403261003 - 29 = 226736403260491 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 226736403261003.

It is not an unprimeable number, because it can be changed into a prime (226736403261103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137945338 + ... + 139579328.

It is an arithmetic number, because the mean of its divisors is an integer number (7007956393152).

Almost surely, 2226736403261003 is an apocalyptic number.

226736403261003 is a deficient number, since it is larger than the sum of its proper divisors (109645503610293).

226736403261003 is a wasteful number, since it uses less digits than its factorization.

226736403261003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635384 (or 1635381 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

Adding to 226736403261003 its reverse (300162304637622), we get a palindrome (526898707898625).

The spelling of 226736403261003 in words is "two hundred twenty-six trillion, seven hundred thirty-six billion, four hundred three million, two hundred sixty-one thousand, three".

Divisors: 1 3 9 43 129 367 387 977 1101 2931 3303 8793 15781 42011 47343 126033 142029 358559 378099 1075677 1633991 3227031 4901973 14705919 15418037 46254111 70261613 138762333 210784839 599674697 632354517 1596409207 1799024091 4789227621 5397072273 14367682863 25786011971 68645595901 77358035913 205936787703 232074107739 585882178969 617810363109 1757646536907 5272939610721 25192933695667 75578801087001 226736403261003