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230131314 = 23376011013
BaseRepresentation
bin11011011011110…
…00011001110010
3121001000212211000
431231320121302
5432403200224
634500302430
75463040530
oct1555703162
9531025730
10230131314
111089a3076
12650a1a16
13388a6c9a
14227c7150
151530c0c9
hexdb78672

230131314 has 64 divisors (see below), whose sum is σ = 586010880. Its totient is φ = 65577600.

The previous prime is 230131309. The next prime is 230131333. The reversal of 230131314 is 413131032.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226672 + ... + 227684.

It is an arithmetic number, because the mean of its divisors is an integer number (9156420).

Almost surely, 2230131314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230131314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293005440).

230131314 is an abundant number, since it is smaller than the sum of its proper divisors (355879566).

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

230131314 is a wasteful number, since it uses less digits than its factorization.

230131314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 230131314 is about 15170.0795647221. The cubic root of 230131314 is about 612.8091469507.

Adding to 230131314 its reverse (413131032), we get a palindrome (643262346).

The spelling of 230131314 in words is "two hundred thirty million, one hundred thirty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 601 1013 1202 1803 2026 3039 3606 4207 5409 6078 7091 8414 9117 10818 12621 14182 16227 18234 21273 25242 27351 32454 37863 42546 54702 63819 75726 113589 127638 191457 227178 382914 608813 1217626 1826439 3652878 4261691 5479317 8523382 10958634 12785073 16437951 25570146 32875902 38355219 76710438 115065657 230131314