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226631331 = 33591131259
BaseRepresentation
bin11011000001000…
…01111010100011
3120210110001202000
431200201322203
5431004200311
634253255043
75421222513
oct1540417243
9523401660
10226631331
11106a22523
1263a94483
1337c4cba4
1422155843
1514d6a056
hexd821ea3

226631331 has 32 divisors (see below), whose sum is σ = 344736000. Its totient is φ = 147095424.

The previous prime is 226631323. The next prime is 226631333. The reversal of 226631331 is 133136622.

It is a happy number.

226631331 is a `hidden beast` number, since 2 + 26 + 631 + 3 + 3 + 1 = 666.

It is not a de Polignac number, because 226631331 - 23 = 226631323 is a prime.

It is a super-2 number, since 2×2266313312 = 102723520381663122, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 226631295 and 226631304.

It is not an unprimeable number, because it can be changed into a prime (226631333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179380 + ... + 180638.

It is an arithmetic number, because the mean of its divisors is an integer number (10773000).

Almost surely, 2226631331 is an apocalyptic number.

226631331 is a deficient number, since it is larger than the sum of its proper divisors (118104669).

226631331 is a wasteful number, since it uses less digits than its factorization.

226631331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1434 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 226631331 is about 15054.2794912277. The cubic root of 226631331 is about 609.6865997390.

Adding to 226631331 its reverse (133136622), we get a palindrome (359767953).

The spelling of 226631331 in words is "two hundred twenty-six million, six hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 27 59 113 177 339 531 1017 1259 1593 3051 3777 6667 11331 20001 33993 60003 74281 142267 180009 222843 426801 668529 1280403 2005587 3841209 8393753 25181259 75543777 226631331