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2231323000 = 235313117033
BaseRepresentation
bin1000010011111111…
…0100100101111000
312202111121221201121
42010333310211320
514032204314000
61005224555024
7106202634604
oct20477644570
95674557647
102231323000
11a45583aa5
12523322a74
1329737a88a
141724b2504
15d0d57b1a
hex84ff4978

2231323000 has 64 divisors (see below), whose sum is σ = 5261461920. Its totient is φ = 885664000.

The previous prime is 2231322997. The next prime is 2231323001. The reversal of 2231323000 is 3231322.

It is a super-3 number, since 3×22313230003 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231323001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122484 + ... + 139516.

Almost surely, 22231323000 is an apocalyptic number.

2231323000 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 2231323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630730960).

2231323000 is an abundant number, since it is smaller than the sum of its proper divisors (3030138920).

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

2231323000 is a wasteful number, since it uses less digits than its factorization.

2231323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17185 (or 17171 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2231323000 is about 47236.8817768489. The cubic root of 2231323000 is about 1306.7348710870.

Adding to 2231323000 its reverse (3231322), we get a palindrome (2234554322).

The spelling of 2231323000 in words is "two billion, two hundred thirty-one million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 131 200 250 262 500 524 655 1000 1048 1310 2620 3275 5240 6550 13100 16375 17033 26200 32750 34066 65500 68132 85165 131000 136264 170330 340660 425825 681320 851650 1703300 2129125 2231323 3406600 4258250 4462646 8516500 8925292 11156615 17033000 17850584 22313230 44626460 55783075 89252920 111566150 223132300 278915375 446264600 557830750 1115661500 2231323000