Search a number
-
+
236925 = 365213
BaseRepresentation
bin111001110101111101
3110001000000
4321311331
530040200
65024513
72004513
oct716575
9401000
10236925
11152007
12b5139
1383ac0
14624b3
154a300
hex39d7d

236925 has 42 divisors (see below), whose sum is σ = 474362. Its totient is φ = 116640.

The previous prime is 236917. The next prime is 236947. The reversal of 236925 is 529632.

It can be written as a sum of positive squares in 3 ways, for example, as 729 + 236196 = 27^2 + 486^2 .

It is not a de Polignac number, because 236925 - 23 = 236917 is a prime.

It is a super-2 number, since 2×2369252 = 112266911250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 22 + 311 + 95 + 62 + 26 + 54 .

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 236925.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 18219 + ... + 18231.

236925 is a Friedman number, since it can be written as 3^6+9^5*(2+2), using all its digits and the basic arithmetic operations.

2236925 is an apocalyptic number.

236925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

236925 is an abundant number, since it is smaller than the sum of its proper divisors (237437).

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

236925 is an equidigital number, since it uses as much as digits as its factorization.

236925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 21 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 236925 is about 486.7494221876. The cubic root of 236925 is about 61.8780990183.

The spelling of 236925 in words is "two hundred thirty-six thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 117 135 195 225 243 325 351 405 585 675 729 975 1053 1215 1755 2025 2925 3159 3645 5265 6075 8775 9477 15795 18225 26325 47385 78975 236925