Search a number
-
+
230005663500 = 223535316191787
BaseRepresentation
bin1101011000110101100…
…1111110011100001100
3210222200111020022201210
43112031121332130030
512232022422213000
6253355123334420
722421516611344
oct3261531763414
9728614208653
10230005663500
11895aa223308
12386b0521410
13188c6918052
14b1bd1a1d24
155eb281b350
hex358d67e70c

230005663500 has 192 divisors, whose sum is σ = 683217400320. Its totient is φ = 60106758400.

The previous prime is 230005663499. The next prime is 230005663577. The reversal of 230005663500 is 5366500032.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128709607 + ... + 128711393.

It is an arithmetic number, because the mean of its divisors is an integer number (3558423960).

Almost surely, 2230005663500 is an apocalyptic number.

230005663500 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 230005663500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341608700160).

230005663500 is an abundant number, since it is smaller than the sum of its proper divisors (453211736820).

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

230005663500 is a wasteful number, since it uses less digits than its factorization.

230005663500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3481 (or 3469 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The spelling of 230005663500 in words is "two hundred thirty billion, five million, six hundred sixty-three thousand, five hundred".