Search a number
-
+
219108 = 22319312
BaseRepresentation
bin110101011111100100
3102010120010
4311133210
524002413
64410220
71601541
oct653744
9363503
10219108
1113a68a
12a6970
1378966
1459bc8
1544dc3
hex357e4

219108 has 36 divisors (see below), whose sum is σ = 556080. Its totient is φ = 66960.

The previous prime is 219103. The next prime is 219119. The reversal of 219108 is 801912.

It is not an unprimeable number, because it can be changed into a prime (219103) by changing a digit.

219108 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7053 + ... + 7083.

2219108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278040).

219108 is an abundant number, since it is smaller than the sum of its proper divisors (336972).

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

219108 is a wasteful number, since it uses less digits than its factorization.

219108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 219108 is about 468.0897349868. The cubic root of 219108 is about 60.2864084392.

It can be divided in two parts, 2 and 19108, that added together give a triangular number (19110 = T195).

The spelling of 219108 in words is "two hundred nineteen thousand, one hundred eight".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 372 589 961 1178 1767 1922 2356 2883 3534 3844 5766 7068 11532 18259 36518 54777 73036 109554 219108