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226309833 = 32109230693
BaseRepresentation
bin11010111110100…
…11011011001001
3120202211201201200
431133103123021
5430413403313
634242334413
75415413301
oct1537233311
9522751650
10226309833
11106822a22
126395a409
1337b69759
14220b0601
1514d04b73
hexd7d36c9

226309833 has 12 divisors (see below), whose sum is σ = 329892420. Its totient is φ = 149488416.

The previous prime is 226309819. The next prime is 226309847. The reversal of 226309833 is 338903622.

It is an interprime number because it is at equal distance from previous prime (226309819) and next prime (226309847).

It can be written as a sum of positive squares in 2 ways, for example, as 193682889 + 32626944 = 13917^2 + 5712^2 .

It is not a de Polignac number, because 226309833 - 25 = 226309801 is a prime.

It is a super-2 number, since 2×2263098332 = 102432281024975778, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (226309033) 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 11 ways as a sum of consecutive naturals, for example, 114366 + ... + 116327.

It is an arithmetic number, because the mean of its divisors is an integer number (27491035).

Almost surely, 2226309833 is an apocalyptic number.

It is an amenable number.

226309833 is a deficient number, since it is larger than the sum of its proper divisors (103582587).

226309833 is a wasteful number, since it uses less digits than its factorization.

226309833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230808 (or 230805 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 226309833 is about 15043.5977412320. The cubic root of 226309833 is about 609.3981639163.

The spelling of 226309833 in words is "two hundred twenty-six million, three hundred nine thousand, eight hundred thirty-three".

Divisors: 1 3 9 109 327 981 230693 692079 2076237 25145537 75436611 226309833