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230692 = 227211107
BaseRepresentation
bin111000010100100100
3102201110011
4320110210
524340232
64540004
71650400
oct702444
9381404
10230692
11148360
12b1604
1381007
1460100
1548547
hex38524

230692 has 36 divisors (see below), whose sum is σ = 517104. Its totient is φ = 89040.

The previous prime is 230683. The next prime is 230693. The reversal of 230692 is 296032.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 215 + 33 + 65 + 0 + 95 + 217 .

It is not an unprimeable number, because it can be changed into a prime (230693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2103 + ... + 2209.

It is an arithmetic number, because the mean of its divisors is an integer number (14364).

2230692 is an apocalyptic number.

230692 is a gapful number since it is divisible by the number (22) 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 230692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258552).

230692 is an abundant number, since it is smaller than the sum of its proper divisors (286412).

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

230692 is a wasteful number, since it uses less digits than its factorization.

230692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 230692 is about 480.3040703554. The cubic root of 230692 is about 61.3306420789.

The spelling of 230692 in words is "two hundred thirty thousand, six hundred ninety-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 107 154 196 214 308 428 539 749 1078 1177 1498 2156 2354 2996 4708 5243 8239 10486 16478 20972 32956 57673 115346 230692