Search a number
-
+
235200105 = 345782963
BaseRepresentation
bin11100000010011…
…01111001101001
3121101120101220000
432001031321221
5440202400410
635201053213
75554111410
oct1601157151
9541511800
10235200105
11110845358
1266927209
133996017a
1423346477
15159addc0
hexe04de69

235200105 has 40 divisors (see below), whose sum is σ = 481854912. Its totient is φ = 107518752.

The previous prime is 235200103. The next prime is 235200169. The reversal of 235200105 is 501002532.

It is a happy number.

235200105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 235200105 - 21 = 235200103 is a prime.

It is a super-2 number, since 2×2352001052 = 110638178784022050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (235200103) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38647 + ... + 44316.

Almost surely, 2235200105 is an apocalyptic number.

It is an amenable number.

235200105 is an abundant number, since it is smaller than the sum of its proper divisors (246654807).

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

235200105 is an equidigital number, since it uses as much as digits as its factorization.

235200105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82987 (or 82978 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 235200105 is about 15336.2350334103. The cubic root of 235200105 is about 617.2756854882.

Adding to 235200105 its reverse (501002532), we get a palindrome (736202637).

The spelling of 235200105 in words is "two hundred thirty-five million, two hundred thousand, one hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2835 82963 248889 414815 580741 746667 1244445 1742223 2240001 2903705 3733335 5226669 6720003 8711115 11200005 15680007 26133345 33600015 47040021 78400035 235200105