Search a number
-
+
192200 = 2352312
BaseRepresentation
bin101110111011001000
3100202122112
4232323020
522122300
64041452
71430231
oct567310
9322575
10192200
11121448
1293288
1369638
1450088
153be35
hex2eec8

192200 has 36 divisors (see below), whose sum is σ = 461745. Its totient is φ = 74400.

The previous prime is 192193. The next prime is 192229. The reversal of 192200 is 2291.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 188356 + 3844 = 434^2 + 62^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=310.

It is an unprimeable number.

192200 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 8 ways as a sum of consecutive naturals, for example, 6185 + ... + 6215.

2192200 is an apocalyptic number.

192200 is a gapful number since it is divisible by the number (10) 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 192200

192200 is an abundant number, since it is smaller than the sum of its proper divisors (269545).

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

192200 is a wasteful number, since it uses less digits than its factorization.

192200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 192200 is about 438.4062043357. The cubic root of 192200 is about 57.7100071051.

Adding to 192200 its reverse (2291), we get a palindrome (194491).

The spelling of 192200 in words is "one hundred ninety-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 961 1240 1550 1922 3100 3844 4805 6200 7688 9610 19220 24025 38440 48050 96100 192200