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2330023000 = 235314591597
BaseRepresentation
bin1000101011100001…
…0101010001011000
320000101100102200011
42022320111101120
514232441214000
61023112251304
7111511603654
oct21270252130
96011312604
102330023000
11a96267848
125503a0b34
132b1957746
14181645a64
15d98522ba
hex8ae15458

2330023000 has 64 divisors (see below), whose sum is σ = 5459407200. Its totient is φ = 930787200.

The previous prime is 2330022997. The next prime is 2330023037. The reversal of 2330023000 is 3200332.

It is a congruent number.

It is an unprimeable number.

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, 1458202 + ... + 1459798.

Almost surely, 22330023000 is an apocalyptic number.

2330023000 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 2330023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729703600).

2330023000 is an abundant number, since it is smaller than the sum of its proper divisors (3129384200).

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

2330023000 is a wasteful number, since it uses less digits than its factorization.

2330023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 13.

The square root of 2330023000 is about 48270.3117868530. The cubic root of 2330023000 is about 1325.7248674069.

Adding to 2330023000 its reverse (3200332), we get a palindrome (2333223332).

The spelling of 2330023000 in words is "two billion, three hundred thirty million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1459 1597 2918 3194 5836 6388 7295 7985 11672 12776 14590 15970 29180 31940 36475 39925 58360 63880 72950 79850 145900 159700 182375 199625 291800 319400 364750 399250 729500 798500 1459000 1597000 2330023 4660046 9320092 11650115 18640184 23300230 46600460 58250575 93200920 116501150 233002300 291252875 466004600 582505750 1165011500 2330023000