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226540233 = 3437269281
BaseRepresentation
bin11011000000010…
…11101011001001
3120210021102210000
431200023223021
5430443241413
634251313213
75420363103
oct1540135311
9523242700
10226540233
11106970037
1263a4b809
1337c1a59a
1422130573
1514d4d073
hexd80bac9

226540233 has 40 divisors (see below), whose sum is σ = 350091720. Its totient is φ = 145877760.

The previous prime is 226540231. The next prime is 226540261. The reversal of 226540233 is 332045622.

226540233 is a `hidden beast` number, since 2 + 2 + 654 + 0 + 2 + 3 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42341049 + 184199184 = 6507^2 + 13572^2 .

It is not a de Polignac number, because 226540233 - 21 = 226540231 is a prime.

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 = 226540197 and 226540206.

It is not an unprimeable number, because it can be changed into a prime (226540231) 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 39 ways as a sum of consecutive naturals, for example, 806053 + ... + 806333.

It is an arithmetic number, because the mean of its divisors is an integer number (8752293).

Almost surely, 2226540233 is an apocalyptic number.

It is an amenable number.

226540233 is a deficient number, since it is larger than the sum of its proper divisors (123551487).

226540233 is a wasteful number, since it uses less digits than its factorization.

226540233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 226540233 is about 15051.2535358355. The cubic root of 226540233 is about 609.6048977767.

Adding to 226540233 its reverse (332045622), we get a palindrome (558585855).

The spelling of 226540233 in words is "two hundred twenty-six million, five hundred forty thousand, two hundred thirty-three".

Divisors: 1 3 9 27 37 81 111 269 281 333 807 843 999 2421 2529 2997 7263 7587 9953 10397 21789 22761 29859 31191 75589 89577 93573 226767 268731 280719 680301 806193 842157 2040903 2796793 6122709 8390379 25171137 75513411 226540233