Search a number
-
+
235344100 = 22524161941
BaseRepresentation
bin11100000011100…
…01000011100100
3121101211201102011
432001301003210
5440222002400
635204124004
75555251255
oct1601610344
9541751364
10235344100
11110933562
1266996604
13399b0884
1423382b2c
15159db8ba
hexe0710e4

235344100 has 72 divisors (see below), whose sum is σ = 532294056. Its totient is φ = 90240000.

The previous prime is 235344091. The next prime is 235344113. The reversal of 235344100 is 1443532.

It can be written as a sum of positive squares in 12 ways, for example, as 178703424 + 56640676 = 13368^2 + 7526^2 .

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 23 ways as a sum of consecutive naturals, for example, 249630 + ... + 250570.

It is an arithmetic number, because the mean of its divisors is an integer number (7392973).

Almost surely, 2235344100 is an apocalyptic number.

235344100 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 235344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266147028).

235344100 is an abundant number, since it is smaller than the sum of its proper divisors (296949956).

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

235344100 is a wasteful number, since it uses less digits than its factorization.

235344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 235344100 is about 15340.9289158121. The cubic root of 235344100 is about 617.4016299890.

Adding to 235344100 its reverse (1443532), we get a palindrome (236787632).

The spelling of 235344100 in words is "two hundred thirty-five million, three hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 61 82 100 122 164 205 244 305 410 610 820 941 1025 1220 1525 1882 2050 2501 3050 3764 4100 4705 5002 6100 9410 10004 12505 18820 23525 25010 38581 47050 50020 57401 62525 77162 94100 114802 125050 154324 192905 229604 250100 287005 385810 574010 771620 964525 1148020 1435025 1929050 2353441 2870050 3858100 4706882 5740100 9413764 11767205 23534410 47068820 58836025 117672050 235344100