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226106631 = 32191322261
BaseRepresentation
bin11010111101000…
…01110100000111
3120202110101222200
431132201310013
5430340403011
634234125543
75413606002
oct1536416407
9522411880
10226106631
111066a4293
12638808b3
1337ac810a
142205a539
1514cb4856
hexd7a1d07

226106631 has 12 divisors (see below), whose sum is σ = 343788120. Its totient is φ = 142804080.

The previous prime is 226106627. The next prime is 226106651. The reversal of 226106631 is 136601622.

226106631 is a `hidden beast` number, since 2 + 26 + 1 + 0 + 6 + 631 = 666.

It is not a de Polignac number, because 226106631 - 22 = 226106627 is a prime.

It is a super-2 number, since 2×2261066312 = 102248417164340322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 226106595 and 226106604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226106651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 660960 + ... + 661301.

It is an arithmetic number, because the mean of its divisors is an integer number (28649010).

Almost surely, 2226106631 is an apocalyptic number.

226106631 is a deficient number, since it is larger than the sum of its proper divisors (117681489).

226106631 is a wasteful number, since it uses less digits than its factorization.

226106631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322286 (or 1322283 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 226106631 is about 15036.8424544517. The cubic root of 226106631 is about 609.2157178646.

It can be divided in two parts, 22610 and 6631, that added together give a square (29241 = 1712).

The spelling of 226106631 in words is "two hundred twenty-six million, one hundred six thousand, six hundred thirty-one".

Divisors: 1 3 9 19 57 171 1322261 3966783 11900349 25122959 75368877 226106631