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235144 = 237131719
BaseRepresentation
bin111001011010001000
3102221120001
4321122020
530011034
65012344
71666360
oct713210
9387501
10235144
11150738
12b40b4
1383050
14619a0
1549a14
hex39688

235144 has 64 divisors (see below), whose sum is σ = 604800. Its totient is φ = 82944.

The previous prime is 235117. The next prime is 235159. The reversal of 235144 is 441532.

235144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

235144 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 15 ways as a sum of consecutive naturals, for example, 12367 + ... + 12385.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2235144 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 235144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302400).

235144 is an abundant number, since it is smaller than the sum of its proper divisors (369656).

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

235144 is a wasteful number, since it uses less digits than its factorization.

235144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 58 counting only the distinct ones).

The product of its digits is 480, while the sum is 19.

The square root of 235144 is about 484.9164876553. The cubic root of 235144 is about 61.7226599617.

Adding to 235144 its reverse (441532), we get a palindrome (676676).

The spelling of 235144 in words is "two hundred thirty-five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 17 19 26 28 34 38 52 56 68 76 91 104 119 133 136 152 182 221 238 247 266 323 364 442 476 494 532 646 728 884 952 988 1064 1292 1547 1729 1768 1976 2261 2584 3094 3458 4199 4522 6188 6916 8398 9044 12376 13832 16796 18088 29393 33592 58786 117572 235144