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226152441 = 32181138829
BaseRepresentation
bin11010111101011…
…00111111111001
3120202112201211100
431132230333321
5430343334231
634235122013
75414156364
oct1536547771
9522481740
10226152441
11106725749
12638a3309
1337b12c18
142206d0db
1514cc31e6
hexd7acff9

226152441 has 12 divisors (see below), whose sum is σ = 328471780. Its totient is φ = 149934240.

The previous prime is 226152427. The next prime is 226152449. The reversal of 226152441 is 144251622.

226152441 is a `hidden beast` number, since 2 + 2 + 615 + 2 + 4 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27342441 + 198810000 = 5229^2 + 14100^2 .

It is not a de Polignac number, because 226152441 - 213 = 226144249 is a prime.

It is a super-2 number, since 2×2261524412 = 102289853140516962, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (226152449) 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, 67786 + ... + 71043.

Almost surely, 2226152441 is an apocalyptic number.

It is an amenable number.

226152441 is a deficient number, since it is larger than the sum of its proper divisors (102319339).

226152441 is a wasteful number, since it uses less digits than its factorization.

226152441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139016 (or 139013 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 226152441 is about 15038.3656359326. The cubic root of 226152441 is about 609.2568581699.

The spelling of 226152441 in words is "two hundred twenty-six million, one hundred fifty-two thousand, four hundred forty-one".

Divisors: 1 3 9 181 543 1629 138829 416487 1249461 25128049 75384147 226152441