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226282381 = 1321923709
BaseRepresentation
bin11010111110011…
…00101110001101
3120202210100001221
431133030232031
5430412014011
634242003341
75415240253
oct1537145615
9522710057
10226282381
11106804336
1263946551
1337b5a100
14220a45d3
1514ceb971
hexd7ccb8d

226282381 has 18 divisors (see below), whose sum is σ = 258672330. Its totient is φ = 197829216.

The previous prime is 226282369. The next prime is 226282391. The reversal of 226282381 is 183282622.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3258025 + 223024356 = 1805^2 + 14934^2 .

It is not a de Polignac number, because 226282381 - 27 = 226282253 is a prime.

It is a super-2 number, since 2×2262823812 = 102407431902058322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226282351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 59155 + ... + 62863.

It is an arithmetic number, because the mean of its divisors is an integer number (14370685).

Almost surely, 2226282381 is an apocalyptic number.

It is an amenable number.

226282381 is a deficient number, since it is larger than the sum of its proper divisors (32389949).

226282381 is a wasteful number, since it uses less digits than its factorization.

226282381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3773 (or 3741 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 226282381 is about 15042.6852988421. The cubic root of 226282381 is about 609.3735223668.

The spelling of 226282381 in words is "two hundred twenty-six million, two hundred eighty-two thousand, three hundred eighty-one".

Divisors: 1 13 19 169 247 361 3211 3709 4693 48217 61009 70471 626821 916123 1338949 11909599 17406337 226282381