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230002300 = 225211239091
BaseRepresentation
bin11011011010110…
…00111001111100
3121000210022211201
431231120321330
5432340033200
634453425244
75461662433
oct1555307174
9530708751
10230002300
11108915150
126503b224
1338860348
142279211a
15152d3c6a
hexdb58e7c

230002300 has 72 divisors (see below), whose sum is σ = 568213632. Its totient is φ = 79992000.

The previous prime is 230002273. The next prime is 230002303. The reversal of 230002300 is 3200032.

230002300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230002303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20755 + ... + 29845.

It is an arithmetic number, because the mean of its divisors is an integer number (7891856).

Almost surely, 2230002300 is an apocalyptic number.

230002300 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 230002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284106816).

230002300 is an abundant number, since it is smaller than the sum of its proper divisors (338211332).

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

230002300 is a wasteful number, since it uses less digits than its factorization.

230002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9139 (or 9132 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 230002300 is about 15165.8267166680. The cubic root of 230002300 is about 612.6946098246.

Adding to 230002300 its reverse (3200032), we get a palindrome (233202332).

The spelling of 230002300 in words is "two hundred thirty million, two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 550 575 1012 1100 1150 1265 2300 2530 5060 6325 9091 12650 18182 25300 36364 45455 90910 100001 181820 200002 209093 227275 400004 418186 454550 500005 836372 909100 1000010 1045465 2000020 2090930 2300023 2500025 4181860 4600046 5000050 5227325 9200092 10000100 10454650 11500115 20909300 23000230 46000460 57500575 115001150 230002300