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230683200 = 263521117257
BaseRepresentation
bin11011011111111…
…11001001000000
3121002001220212020
431233333021000
5433023330300
634520201440
75500526526
oct1557771100
9532056766
10230683200
1110923a780
1265309280
1338a3b247
14228cc316
15153ba8a0
hexdbff240

230683200 has 336 divisors, whose sum is σ = 877604544. Its totient is φ = 52428800.

The previous prime is 230683147. The next prime is 230683213. The reversal of 230683200 is 2386032.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 897472 + ... + 897728.

Almost surely, 2230683200 is an apocalyptic number.

230683200 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 230683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438802272).

230683200 is an abundant number, since it is smaller than the sum of its proper divisors (646921344).

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

230683200 is a wasteful number, since it uses less digits than its factorization.

230683200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 230683200 is about 15188.2586230285. The cubic root of 230683200 is about 613.2986222742.

The spelling of 230683200 in words is "two hundred thirty million, six hundred eighty-three thousand, two hundred".