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230001000 = 2335376667
BaseRepresentation
bin11011011010110…
…00100101101000
3121000210021001120
431231120211220
5432340013000
634453415240
75461655565
oct1555304550
9530707046
10230001000
11108914179
126503a520
133885c888
142279186c
15152d36a0
hexdb58968

230001000 has 64 divisors (see below), whose sum is σ = 717612480. Its totient is φ = 61332800.

The previous prime is 230000999. The next prime is 230001011. The reversal of 230001000 is 100032.

230001000 is digitally balanced in base 2, 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 (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 230001000.

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, 35334 + ... + 41333.

It is an arithmetic number, because the mean of its divisors is an integer number (11212695).

Almost surely, 2230001000 is an apocalyptic number.

230001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230001000 is an abundant number, since it is smaller than the sum of its proper divisors (487611480).

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

230001000 is a wasteful number, since it uses less digits than its factorization.

230001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76691 (or 76677 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 230001000 is about 15165.7838570909. The cubic root of 230001000 is about 612.6934554818.

Adding to 230001000 its reverse (100032), we get a palindrome (230101032).

The spelling of 230001000 in words is "two hundred thirty million, one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 76667 153334 230001 306668 383335 460002 613336 766670 920004 1150005 1533340 1840008 1916675 2300010 3066680 3833350 4600020 5750025 7666700 9200040 9583375 11500050 15333400 19166750 23000100 28750125 38333500 46000200 57500250 76667000 115000500 230001000