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12414233 = 1321729149
BaseRepresentation
bin101111010110…
…110100011001
3212100201010102
4233112310121
511134223413
61122025145
7210343046
oct57266431
925321112
1012414233
117009aa7
1241a81b5
132758700
1419121cd
151153458
hexbd6d19

12414233 has 24 divisors (see below), whose sum is σ = 14823000. Its totient is φ = 10343424.

The previous prime is 12414211. The next prime is 12414263. The reversal of 12414233 is 33241421.

It can be written as a sum of positive squares in 12 ways, for example, as 6901129 + 5513104 = 2627^2 + 2348^2 .

It is not a de Polignac number, because 12414233 - 26 = 12414169 is a prime.

It is a super-2 number, since 2×124142332 = 308226361956578, 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 (12414263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83243 + ... + 83391.

It is an arithmetic number, because the mean of its divisors is an integer number (617625).

Almost surely, 212414233 is an apocalyptic number.

12414233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12414233 is a deficient number, since it is larger than the sum of its proper divisors (2408767).

12414233 is a wasteful number, since it uses less digits than its factorization.

12414233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 208 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 12414233 is about 3523.3837429380. The cubic root of 12414233 is about 231.5474295106.

Adding to 12414233 its reverse (33241421), we get a palindrome (45655654).

The spelling of 12414233 in words is "twelve million, four hundred fourteen thousand, two hundred thirty-three".

Divisors: 1 13 17 29 149 169 221 377 493 1937 2533 2873 4321 4901 6409 25181 32929 56173 73457 83317 428077 730249 954941 12414233