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226105263 = 3419146917
BaseRepresentation
bin11010111101000…
…01011110101111
3120202110100010000
431132201132233
5430340332023
634234115343
75413602006
oct1536413657
9522410100
10226105263
111066a325a
126387bb53
1337ac75c7
1422059c3d
1514cb4243
hexd7a17af

226105263 has 20 divisors (see below), whose sum is σ = 355541560. Its totient is φ = 142802352.

The previous prime is 226105241. The next prime is 226105267. The reversal of 226105263 is 362501622.

226105263 is a `hidden beast` number, since 22 + 610 + 5 + 26 + 3 = 666.

It is not a de Polignac number, because 226105263 - 213 = 226097071 is a prime.

It is a super-2 number, since 2×2261052632 = 102247179912598338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226105267) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71920 + ... + 74997.

It is an arithmetic number, because the mean of its divisors is an integer number (17777078).

Almost surely, 2226105263 is an apocalyptic number.

226105263 is a deficient number, since it is larger than the sum of its proper divisors (129436297).

226105263 is a wasteful number, since it uses less digits than its factorization.

226105263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146948 (or 146939 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 226105263 is about 15036.7969661095. The cubic root of 226105263 is about 609.2144892278.

Adding to 226105263 its reverse (362501622), we get a palindrome (588606885).

The spelling of 226105263 in words is "two hundred twenty-six million, one hundred five thousand, two hundred sixty-three".

Divisors: 1 3 9 19 27 57 81 171 513 1539 146917 440751 1322253 2791423 3966759 8374269 11900277 25122807 75368421 226105263