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219136 = 211107
BaseRepresentation
bin110101100000000000
3102010121011
4311200000
524003021
64410304
71601611
oct654000
9363534
10219136
1113a705
12a6994
1378988
1459c08
1544de1
hex35800

219136 has 24 divisors (see below), whose sum is σ = 442260. Its totient is φ = 108544.

The previous prime is 219133. The next prime is 219143. The reversal of 219136 is 631912.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1995 + ... + 2101.

2219136 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 219136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221130).

219136 is an abundant number, since it is smaller than the sum of its proper divisors (223124).

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

219136 is an equidigital number, since it uses as much as digits as its factorization.

219136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 109 counting only the distinct ones).

The product of its digits is 324, while the sum is 22.

The square root of 219136 is about 468.1196428265. The cubic root of 219136 is about 60.2889763471.

Subtracting from 219136 its product of digits (324), we obtain a palindrome (218812).

The spelling of 219136 in words is "two hundred nineteen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 107 128 214 256 428 512 856 1024 1712 2048 3424 6848 13696 27392 54784 109568 219136