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230314350 = 23527401547
BaseRepresentation
bin11011011101001…
…01000101101110
3121001101011220010
431232211011232
5432430024400
634504234050
75464432260
oct1556450556
9531334803
10230314350
11109008642
126516b926
133893c3a6
1422833b30
1515346450
hexdba516e

230314350 has 96 divisors (see below), whose sum is σ = 655600896. Its totient is φ = 52416000.

The previous prime is 230314291. The next prime is 230314361. The reversal of 230314350 is 53413032.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 420777 + ... + 421323.

It is an arithmetic number, because the mean of its divisors is an integer number (6829176).

Almost surely, 2230314350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230314350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327800448).

230314350 is an abundant number, since it is smaller than the sum of its proper divisors (425286546).

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

230314350 is a wasteful number, since it uses less digits than its factorization.

230314350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 230314350 is about 15176.1111619545. Note that the first 4 decimals coincide. The cubic root of 230314350 is about 612.9715707555.

Adding to 230314350 its reverse (53413032), we get a palindrome (283727382).

It can be divided in two parts, 2303 and 14350, that added together give a triangular number (16653 = T182).

The spelling of 230314350 in words is "two hundred thirty million, three hundred fourteen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 401 525 547 802 1050 1094 1203 1641 2005 2406 2735 2807 3282 3829 4010 5470 5614 6015 7658 8205 8421 10025 11487 12030 13675 14035 16410 16842 19145 20050 22974 27350 28070 30075 38290 41025 42105 57435 60150 70175 82050 84210 95725 114870 140350 191450 210525 219347 287175 421050 438694 574350 658041 1096735 1316082 1535429 2193470 3070858 3290205 4606287 5483675 6580410 7677145 9212574 10967350 15354290 16451025 23031435 32902050 38385725 46062870 76771450 115157175 230314350