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230177514 = 237192312541
BaseRepresentation
bin11011011100000…
…11101011101010
3121001010020012010
431232003223222
5432411140024
634501300350
75463322320
oct1556035352
9531106163
10230177514
11108a24856
12651046b6
13388c2018
14227d9d10
151531ab29
hexdb83aea

230177514 has 64 divisors (see below), whose sum is σ = 577935360. Its totient is φ = 59590080.

The previous prime is 230177513. The next prime is 230177531. The reversal of 230177514 is 415771032.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (230177513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12084 + ... + 24624.

It is an arithmetic number, because the mean of its divisors is an integer number (9030240).

Almost surely, 2230177514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230177514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288967680).

230177514 is an abundant number, since it is smaller than the sum of its proper divisors (347757846).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230177514 is a wasteful number, since it uses less digits than its factorization.

230177514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12595.

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 230177514 is about 15171.6022225736. The cubic root of 230177514 is about 612.8501523630.

The spelling of 230177514 in words is "two hundred thirty million, one hundred seventy-seven thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 23 38 42 46 57 69 114 133 138 161 266 322 399 437 483 798 874 966 1311 2622 3059 6118 9177 12541 18354 25082 37623 75246 87787 175574 238279 263361 288443 476558 526722 576886 714837 865329 1429674 1667953 1730658 2019101 3335906 4038202 5003859 5480417 6057303 10007718 10960834 12114606 16441251 32882502 38362919 76725838 115088757 230177514