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235114100 = 225213832179
BaseRepresentation
bin11100000001110…
…00111001110100
3121101102000220122
432000320321310
5440142122400
635155151112
75553302564
oct1600707164
9541360818
10235114100
11110796781
12668a5498
133992cc90
1423322da4
1515993685
hexe038e74

235114100 has 72 divisors (see below), whose sum is σ = 556318560. Its totient is φ = 85726080.

The previous prime is 235114091. The next prime is 235114109. The reversal of 235114100 is 1411532.

235114100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (235114091) and next prime (235114109).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235114109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 106811 + ... + 108989.

Almost surely, 2235114100 is an apocalyptic number.

235114100 is a gapful number since it is divisible by the number (20) 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 235114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278159280).

235114100 is an abundant number, since it is smaller than the sum of its proper divisors (321204460).

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

235114100 is a wasteful number, since it uses less digits than its factorization.

235114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 235114100 is about 15333.4307967917. The cubic root of 235114100 is about 617.2004371267.

Adding to 235114100 its reverse (1411532), we get a palindrome (236525632).

The spelling of 235114100 in words is "two hundred thirty-five million, one hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 83 100 130 166 260 325 332 415 650 830 1079 1300 1660 2075 2158 2179 4150 4316 4358 5395 8300 8716 10790 10895 21580 21790 26975 28327 43580 53950 54475 56654 107900 108950 113308 141635 180857 217900 283270 361714 566540 708175 723428 904285 1416350 1808570 2351141 2832700 3617140 4521425 4702282 9042850 9404564 11755705 18085700 23511410 47022820 58778525 117557050 235114100