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216100 = 22522161
BaseRepresentation
bin110100110000100100
3101222102201
4310300210
523403400
64344244
71560013
oct646044
9358381
10216100
111383a5
12a5084
1377491
1458a7a
154406a
hex34c24

216100 has 18 divisors (see below), whose sum is σ = 469154. Its totient is φ = 86400.

The previous prime is 216091. The next prime is 216103. The reversal of 216100 is 1612.

It can be written as a sum of positive squares in 3 ways, for example, as 20736 + 195364 = 144^2 + 442^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (216103) 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 5 ways as a sum of consecutive naturals, for example, 981 + ... + 1180.

2216100 is an apocalyptic number.

216100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216100 is an abundant number, since it is smaller than the sum of its proper divisors (253054).

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

216100 is a wasteful number, since it uses less digits than its factorization.

216100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 216100 is about 464.8655719668. The cubic root of 216100 is about 60.0092578307.

Adding to 216100 its reverse (1612), we get a palindrome (217712).

The spelling of 216100 in words is "two hundred sixteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2161 4322 8644 10805 21610 43220 54025 108050 216100