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235152 = 24322371
BaseRepresentation
bin111001011010010000
3102221120100
4321122100
530011102
65012400
71666401
oct713220
9387510
10235152
11150745
12b4100
1383058
14619a8
1549a1c
hex39690

235152 has 60 divisors (see below), whose sum is σ = 696384. Its totient is φ = 73920.

The previous prime is 235117. The next prime is 235159. The reversal of 235152 is 251532.

It is a happy number.

235152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235159) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3277 + ... + 3347.

2235152 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 235152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348192).

235152 is an abundant number, since it is smaller than the sum of its proper divisors (461232).

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

235152 is a wasteful number, since it uses less digits than its factorization.

235152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 99 counting only the distinct ones).

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

The square root of 235152 is about 484.9247364282. The cubic root of 235152 is about 61.7233599238.

Adding to 235152 its reverse (251532), we get a palindrome (486684).

The spelling of 235152 in words is "two hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 71 72 92 138 142 144 184 207 213 276 284 368 414 426 552 568 639 828 852 1104 1136 1278 1633 1656 1704 2556 3266 3312 3408 4899 5112 6532 9798 10224 13064 14697 19596 26128 29394 39192 58788 78384 117576 235152