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2163321200 = 245246311681
BaseRepresentation
bin1000000011110001…
…1010100101110000
312120202200002210102
42000330122211300
513412302234300
6554355251532
7104415632615
oct20074324560
95522602712
102163321200
11a10158267
125045a9ba8
1328625b721
1416745050c
15c9dc40d5
hex80f1a970

2163321200 has 60 divisors (see below), whose sum is σ = 5209050528. Its totient is φ = 863385600.

The previous prime is 2163321197. The next prime is 2163321203. The reversal of 2163321200 is 21233612.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2163321197) and next prime (2163321203).

It is a super-2 number, since 2×21633212002 = 9359917228738880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2163321203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 179360 + ... + 191040.

Almost surely, 22163321200 is an apocalyptic number.

2163321200 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 2163321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604525264).

2163321200 is an abundant number, since it is smaller than the sum of its proper divisors (3045729328).

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

2163321200 is a wasteful number, since it uses less digits than its factorization.

2163321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12162 (or 12151 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 2163321200 is about 46511.5168533558. The cubic root of 2163321200 is about 1293.3230033067.

Adding to 2163321200 its reverse (21233612), we get a palindrome (2184554812).

The spelling of 2163321200 in words is "two billion, one hundred sixty-three million, three hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 463 926 1852 2315 3704 4630 7408 9260 11575 11681 18520 23150 23362 37040 46300 46724 58405 92600 93448 116810 185200 186896 233620 292025 467240 584050 934480 1168100 2336200 4672400 5408303 10816606 21633212 27041515 43266424 54083030 86532848 108166060 135207575 216332120 270415150 432664240 540830300 1081660600 2163321200