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230243420 = 225114332417
BaseRepresentation
bin11011011100100…
…11110001011100
3121001020120121002
431232103301130
5432420242140
634502525432
75464015421
oct1556236134
9531216532
10230243420
11108a6a320
1265136878
1338916014
1422815d48
1515330415
hexdb93c5c

230243420 has 48 divisors (see below), whose sum is σ = 528903648. Its totient is φ = 83496960.

The previous prime is 230243381. The next prime is 230243437. The reversal of 230243420 is 24342032.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 230243392 and 230243401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94052 + ... + 96468.

It is an arithmetic number, because the mean of its divisors is an integer number (11018826).

Almost surely, 2230243420 is an apocalyptic number.

230243420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230243420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264451824).

230243420 is an abundant number, since it is smaller than the sum of its proper divisors (298660228).

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

230243420 is a wasteful number, since it uses less digits than its factorization.

230243420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 230243420 is about 15173.7740855728. The cubic root of 230243420 is about 612.9086385969.

Adding to 230243420 its reverse (24342032), we get a palindrome (254585452).

The spelling of 230243420 in words is "two hundred thirty million, two hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 433 866 1732 2165 2417 4330 4763 4834 8660 9526 9668 12085 19052 23815 24170 26587 47630 48340 53174 95260 106348 132935 265870 531740 1046561 2093122 4186244 5232805 10465610 11512171 20931220 23024342 46048684 57560855 115121710 230243420