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235131104 = 2513975827
BaseRepresentation
bin11100000001111…
…01000011100000
3121101102220020102
432000331003200
5440143143404
635155401532
75553403265
oct1600750340
9541386212
10235131104
111107a852a
12668b32a8
1339937940
142332926c
151599871e
hexe03d0e0

235131104 has 48 divisors (see below), whose sum is σ = 503749008. Its totient is φ = 107384832.

The previous prime is 235131079. The next prime is 235131151. The reversal of 235131104 is 401131532.

235131104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37439 + ... + 43265.

It is an arithmetic number, because the mean of its divisors is an integer number (10494771).

Almost surely, 2235131104 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 235131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251874504).

235131104 is an abundant number, since it is smaller than the sum of its proper divisors (268617904).

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

235131104 is a wasteful number, since it uses less digits than its factorization.

235131104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5947 (or 5939 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 235131104 is about 15333.9852615033. The cubic root of 235131104 is about 617.2153158930.

Adding to 235131104 its reverse (401131532), we get a palindrome (636262636).

The spelling of 235131104 in words is "two hundred thirty-five million, one hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 97 104 194 208 388 416 776 1261 1552 2522 3104 5044 5827 10088 11654 20176 23308 40352 46616 75751 93232 151502 186464 303004 565219 606008 1130438 1212016 2260876 2424032 4521752 7347847 9043504 14695694 18087008 29391388 58782776 117565552 235131104