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226148533 = 1326121937
BaseRepresentation
bin11010111101011…
…00000010110101
3120202112112110121
431132230002311
5430343223113
634235051541
75414142112
oct1536540265
9522475417
10226148533
11106722816
12638a0bb1
1337b11200
142206b909
1514cc1e8d
hexd7ac0b5

226148533 has 12 divisors (see below), whose sum is σ = 248908548. Its totient is φ = 205320960.

The previous prime is 226148521. The next prime is 226148543. The reversal of 226148533 is 335841622.

It can be written as a sum of positive squares in 6 ways, for example, as 134026929 + 92121604 = 11577^2 + 9598^2 .

It is a de Polignac number, because none of the positive numbers 2k-226148533 is a prime.

It is a super-2 number, since 2×2261485332 = 102286317956104178, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226148543) 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, 660 + ... + 21277.

It is an arithmetic number, because the mean of its divisors is an integer number (20742379).

Almost surely, 2226148533 is an apocalyptic number.

It is an amenable number.

226148533 is a deficient number, since it is larger than the sum of its proper divisors (22760015).

226148533 is a wasteful number, since it uses less digits than its factorization.

226148533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22024 (or 22011 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 226148533 is about 15038.2357010389. The cubic root of 226148533 is about 609.2533487531.

The spelling of 226148533 in words is "two hundred twenty-six million, one hundred forty-eight thousand, five hundred thirty-three".

Divisors: 1 13 61 169 793 10309 21937 285181 1338157 3707353 17396041 226148533