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2163343000 = 235371323773
BaseRepresentation
bin1000000011110001…
…1111111010011000
312120202201012200211
42000330133322120
513412303434000
6554355540504
7104416053310
oct20074377230
95522635624
102163343000
11a10172685
125045ba734
13286268620
14167458440
15c9dca7ba
hex80f1fe98

2163343000 has 128 divisors (see below), whose sum is σ = 6230689920. Its totient is φ = 684633600.

The previous prime is 2163342971. The next prime is 2163343001. The reversal of 2163343000 is 3433612.

2163343000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2163343001) 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, 79114 + ... + 102886.

It is an arithmetic number, because the mean of its divisors is an integer number (48677265).

Almost surely, 22163343000 is an apocalyptic number.

2163343000 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 2163343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3115344960).

2163343000 is an abundant number, since it is smaller than the sum of its proper divisors (4067346920).

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

2163343000 is a wasteful number, since it uses less digits than its factorization.

2163343000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23814 (or 23800 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 2163343000 is about 46511.7512033250. The cubic root of 2163343000 is about 1293.3273476064.

Adding to 2163343000 its reverse (3433612), we get a palindrome (2166776612).

The spelling of 2163343000 in words is "two billion, one hundred sixty-three million, three hundred forty-three thousand".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 125 130 140 175 182 200 250 260 280 325 350 364 455 500 520 650 700 728 875 910 1000 1300 1400 1625 1750 1820 2275 2600 3250 3500 3640 4550 6500 7000 9100 11375 13000 18200 22750 23773 45500 47546 91000 95092 118865 166411 190184 237730 309049 332822 475460 594325 618098 665644 832055 950920 1188650 1236196 1331288 1545245 1664110 2163343 2377300 2472392 2971625 3090490 3328220 4160275 4326686 4754600 5943250 6180980 6656440 7726225 8320550 8653372 10816715 11886500 12361960 15452450 16641100 17306744 20801375 21633430 23773000 30904900 33282200 38631125 41602750 43266860 54083575 61809800 77262250 83205500 86533720 108167150 154524500 166411000 216334300 270417875 309049000 432668600 540835750 1081671500 2163343000