Search a number
-
+
226333431 = 32127198017
BaseRepresentation
bin11010111110110…
…01001011110111
3120202212221002200
431133121023313
5430420132211
634243035543
75415542142
oct1537311367
9522787080
10226333431
11106839725
126396bbb3
1337b7740c
14220b9059
1514d0bb56
hexd7d92f7

226333431 has 12 divisors (see below), whose sum is σ = 329501952. Its totient is φ = 149700096.

The previous prime is 226333423. The next prime is 226333433. The reversal of 226333431 is 134333622.

It is a happy number.

226333431 is a `hidden beast` number, since 22 + 633 + 3 + 4 + 3 + 1 = 666.

It is not a de Polignac number, because 226333431 - 23 = 226333423 is a prime.

It is a super-2 number, since 2×2263334312 = 102453643976463522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 226333395 and 226333404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226333433) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 97866 + ... + 100151.

It is an arithmetic number, because the mean of its divisors is an integer number (27458496).

Almost surely, 2226333431 is an apocalyptic number.

226333431 is a deficient number, since it is larger than the sum of its proper divisors (103168521).

226333431 is a wasteful number, since it uses less digits than its factorization.

226333431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198150 (or 198147 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 226333431 is about 15044.3820411475. The cubic root of 226333431 is about 609.4193444337.

The spelling of 226333431 in words is "two hundred twenty-six million, three hundred thirty-three thousand, four hundred thirty-one".

Divisors: 1 3 9 127 381 1143 198017 594051 1782153 25148159 75444477 226333431