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2163100 = 225297223
BaseRepresentation
bin1000010000000110011100
311001220012211
420100012130
51023204400
6114210204
724246262
oct10200634
94056184
102163100
111248195
12883964
135a9754
14404432
152cadba
hex21019c

2163100 has 36 divisors (see below), whose sum is σ = 4763584. Its totient is φ = 852480.

The previous prime is 2163079. The next prime is 2163101. The reversal of 2163100 is 13612.

It is a super-2 number, since 2×21631002 = 9358003220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2163101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9589 + ... + 9811.

22163100 is an apocalyptic number.

2163100 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 2163100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381792).

2163100 is an abundant number, since it is smaller than the sum of its proper divisors (2600484).

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

2163100 is a wasteful number, since it uses less digits than its factorization.

2163100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2163100 is about 1470.7481089568. The cubic root of 2163100 is about 129.3278920964.

Adding to 2163100 its reverse (13612), we get a palindrome (2176712).

The spelling of 2163100 in words is "two million, one hundred sixty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 223 388 446 485 892 970 1115 1940 2230 2425 4460 4850 5575 9700 11150 21631 22300 43262 86524 108155 216310 432620 540775 1081550 2163100