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230624414 = 217291511549
BaseRepresentation
bin11011011111100…
…00110010011110
3121001221221012222
431233300302132
5433014440124
634515025342
75500163246
oct1557606236
9531857188
10230624414
111091aa599
126529b252
1338a1a567
14228b4b26
15153a825e
hexdbf0c9e

230624414 has 32 divisors (see below), whose sum is σ = 381672000. Its totient is φ = 104025600.

The previous prime is 230624393. The next prime is 230624417. The reversal of 230624414 is 414426032.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230624417) 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 15 ways as a sum of consecutive naturals, for example, 148112 + ... + 149660.

It is an arithmetic number, because the mean of its divisors is an integer number (11927250).

Almost surely, 2230624414 is an apocalyptic number.

230624414 is a deficient number, since it is larger than the sum of its proper divisors (151047586).

230624414 is a wasteful number, since it uses less digits than its factorization.

230624414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748.

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 230624414 is about 15186.3232548237. The cubic root of 230624414 is about 613.2465213326.

The spelling of 230624414 in words is "two hundred thirty million, six hundred twenty-four thousand, four hundred fourteen".

Divisors: 1 2 17 29 34 58 151 302 493 986 1549 2567 3098 4379 5134 8758 26333 44921 52666 74443 89842 148886 233899 467798 763657 1527314 3976283 6783071 7952566 13566142 115312207 230624414