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2300223000 = 233534118701
BaseRepresentation
bin1000100100011010…
…1001111000011000
312221022021102202110
42021012221320120
514202324114000
61020125432320
7111000400335
oct21106517030
95838242673
102300223000
11a80463649
1254240b6a0
132a87227ca
1417b6c998c
15d6e17850
hex891a9e18

2300223000 has 128 divisors (see below), whose sum is σ = 7352130240. Its totient is φ = 598400000.

The previous prime is 2300222999. The next prime is 2300223019. The reversal of 2300223000 is 3220032.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 113650 + ... + 132350.

Almost surely, 22300223000 is an apocalyptic number.

2300223000 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 2300223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3676065120).

2300223000 is an abundant number, since it is smaller than the sum of its proper divisors (5051907240).

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

2300223000 is a wasteful number, since it uses less digits than its factorization.

2300223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18766 (or 18752 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 2300223000 is about 47960.6401124922. The cubic root of 2300223000 is about 1320.0487814846.

Adding to 2300223000 its reverse (3220032), we get a palindrome (2303443032).

The spelling of 2300223000 in words is "two billion, three hundred million, two hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 100 120 123 125 150 164 200 205 246 250 300 328 375 410 492 500 600 615 750 820 984 1000 1025 1230 1500 1640 2050 2460 3000 3075 4100 4920 5125 6150 8200 10250 12300 15375 18701 20500 24600 30750 37402 41000 56103 61500 74804 93505 112206 123000 149608 187010 224412 280515 374020 448824 467525 561030 748040 766741 935050 1122060 1402575 1533482 1870100 2244120 2300223 2337625 2805150 3066964 3740200 3833705 4600446 4675250 5610300 6133928 7012875 7667410 9200892 9350500 11220600 11501115 14025750 15334820 18401784 18701000 19168525 23002230 28051500 30669640 38337050 46004460 56103000 57505575 76674100 92008920 95842625 115011150 153348200 191685250 230022300 287527875 383370500 460044600 575055750 766741000 1150111500 2300223000