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102216 = 2334259
BaseRepresentation
bin11000111101001000
312012012210
4120331020
511232331
62105120
7604002
oct307510
9165183
10102216
116a884
124b1a0
13376aa
1429372
1520446
hex18f48

102216 has 16 divisors (see below), whose sum is σ = 255600. Its totient is φ = 34064.

The previous prime is 102203. The next prime is 102217. The reversal of 102216 is 612201.

It is a super-2 number, since 2×1022162 = 20896221312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102216.

It is not an unprimeable number, because it can be changed into a prime (102217) by changing a digit.

102216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2106 + ... + 2153.

It is an arithmetic number, because the mean of its divisors is an integer number (15975).

2102216 is an apocalyptic number.

It is an amenable number.

102216 is an abundant number, since it is smaller than the sum of its proper divisors (153384).

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

102216 is a wasteful number, since it uses less digits than its factorization.

102216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4268 (or 4264 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 102216 is about 319.7123707334. The cubic root of 102216 is about 46.7562451741.

Adding to 102216 its reverse (612201), we get a palindrome (714417).

The spelling of 102216 in words is "one hundred two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 4259 8518 12777 17036 25554 34072 51108 102216