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2143324000 = 25532323297
BaseRepresentation
bin111111111000000…
…1000011101100000
312112101001010210101
41333300020131200
513342142332000
6552402512144
7104053645006
oct17760103540
95471033711
102143324000
119aa93a054
124b9965654
1328207966c
14164926a76
15c8273e6a
hex7fc08760

2143324000 has 96 divisors (see below), whose sum is σ = 5495345856. Its totient is φ = 820019200.

The previous prime is 2143323961. The next prime is 2143324003. The reversal of 2143324000 is 4233412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2143324003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80352 + ... + 103648.

It is an arithmetic number, because the mean of its divisors is an integer number (57243186).

Almost surely, 22143324000 is an apocalyptic number.

2143324000 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 2143324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747672928).

2143324000 is an abundant number, since it is smaller than the sum of its proper divisors (3352021856).

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

2143324000 is a wasteful number, since it uses less digits than its factorization.

2143324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23345 (or 23327 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2143324000 is about 46296.0473474788. The cubic root of 2143324000 is about 1289.3256094828.

Adding to 2143324000 its reverse (4233412), we get a palindrome (2147557412).

The spelling of 2143324000 in words is "two billion, one hundred forty-three million, three hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 250 368 400 460 500 575 736 800 920 1000 1150 1840 2000 2300 2875 3680 4000 4600 5750 9200 11500 18400 23000 23297 46000 46594 92000 93188 116485 186376 232970 372752 465940 535831 582425 745504 931880 1071662 1164850 1863760 2143324 2329700 2679155 2912125 3727520 4286648 4659400 5358310 5824250 8573296 9318800 10716620 11648500 13395775 17146592 18637600 21433240 23297000 26791550 42866480 46594000 53583100 66978875 85732960 93188000 107166200 133957750 214332400 267915500 428664800 535831000 1071662000 2143324000