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230729500 = 2253569811
BaseRepresentation
bin11011100000010…
…10011100011100
3121002011021101001
431300022130130
5433031321000
634521200044
75501111521
oct1560123434
9532137331
10230729500
11109271541
1265330024
1338a56341
1422901148
15153c946a
hexdc0a71c

230729500 has 48 divisors (see below), whose sum is σ = 505421280. Its totient is φ = 92016000.

The previous prime is 230729479. The next prime is 230729501. The reversal of 230729500 is 5927032.

It is a super-2 number, since 2×2307295002 = 106472204340500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230729501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284095 + ... + 284905.

It is an arithmetic number, because the mean of its divisors is an integer number (10529610).

Almost surely, 2230729500 is an apocalyptic number.

230729500 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 230729500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252710640).

230729500 is an abundant number, since it is smaller than the sum of its proper divisors (274691780).

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

230729500 is a wasteful number, since it uses less digits than its factorization.

230729500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 230729500 is about 15189.7827502568. The cubic root of 230729500 is about 613.3396508749.

The spelling of 230729500 in words is "two hundred thirty million, seven hundred twenty-nine thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 569 811 1138 1622 2276 2845 3244 4055 5690 8110 11380 14225 16220 20275 28450 40550 56900 71125 81100 101375 142250 202750 284500 405500 461459 922918 1845836 2307295 4614590 9229180 11536475 23072950 46145900 57682375 115364750 230729500