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216900 = 223252241
BaseRepresentation
bin110100111101000100
3102000112100
4310331010
523420100
64352100
71562235
oct647504
9360470
10216900
11138a62
12a5630
1377958
145908c
1544400
hex34f44

216900 has 54 divisors (see below), whose sum is σ = 682682. Its totient is φ = 57600.

The previous prime is 216899. The next prime is 216901. The reversal of 216900 is 9612.

216900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (216899) and next prime (216901).

It can be written as a sum of positive squares in 3 ways, for example, as 30276 + 186624 = 174^2 + 432^2 .

It is a super-2 number, since 2×2169002 = 94091220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (216901) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 780 + ... + 1020.

2216900 is an apocalyptic number.

216900 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 216900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341341).

216900 is an abundant number, since it is smaller than the sum of its proper divisors (465782).

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

216900 is a wasteful number, since it uses less digits than its factorization.

216900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 216900 is about 465.7252408878. The cubic root of 216900 is about 60.0832178598.

The spelling of 216900 in words is "two hundred sixteen thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 241 300 450 482 723 900 964 1205 1446 2169 2410 2892 3615 4338 4820 6025 7230 8676 10845 12050 14460 18075 21690 24100 36150 43380 54225 72300 108450 216900