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2143234000 = 24534159443
BaseRepresentation
bin111111110111111…
…0010011111010000
312112100212120100001
41333233302133100
513342131442000
6552400535344
7104053121425
oct17757623720
95470776301
102143234000
119aa888476
124b9921554
132820476cb
14164901d4c
15c825746a
hex7fbf27d0

2143234000 has 160 divisors (see below), whose sum is σ = 5410903680. Its totient is φ = 820352000.

The previous prime is 2143233997. The next prime is 2143234003. The reversal of 2143234000 is 4323412.

It is an interprime number because it is at equal distance from previous prime (2143233997) and next prime (2143234003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2143234003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4837779 + ... + 4838221.

It is an arithmetic number, because the mean of its divisors is an integer number (33818148).

Almost surely, 22143234000 is an apocalyptic number.

2143234000 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 2143234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2705451840).

2143234000 is an abundant number, since it is smaller than the sum of its proper divisors (3267669680).

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

2143234000 is a wasteful number, since it uses less digits than its factorization.

2143234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 550 counting only the distinct ones).

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

The square root of 2143234000 is about 46295.0753320480. The cubic root of 2143234000 is about 1289.3075626034.

Adding to 2143234000 its reverse (4323412), we get a palindrome (2147557412).

The spelling of 2143234000 in words is "two billion, one hundred forty-three million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 59 80 82 100 118 125 164 200 205 236 250 295 328 400 410 443 472 500 590 656 820 886 944 1000 1025 1180 1475 1640 1772 2000 2050 2215 2360 2419 2950 3280 3544 4100 4430 4720 4838 5125 5900 7088 7375 8200 8860 9676 10250 11075 11800 12095 14750 16400 17720 18163 19352 20500 22150 23600 24190 26137 29500 35440 36326 38704 41000 44300 48380 52274 55375 59000 60475 72652 82000 88600 90815 96760 104548 110750 118000 120950 130685 145304 177200 181630 193520 209096 221500 241900 261370 290608 302375 363260 418192 443000 454075 483800 522740 604750 653425 726520 886000 908150 967600 1045480 1071617 1209500 1306850 1453040 1816300 2090960 2143234 2270375 2419000 2613700 3267125 3632600 4286468 4540750 4838000 5227400 5358085 6534250 7265200 8572936 9081500 10454800 10716170 13068500 17145872 18163000 21432340 26137000 26790425 36326000 42864680 52274000 53580850 85729360 107161700 133952125 214323400 267904250 428646800 535808500 1071617000 2143234000