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235441140 = 2235112912301
BaseRepresentation
bin11100000100010…
…00101111110100
3121102000122112020
432002020233310
5440233104030
635210153140
75556134214
oct1602105764
9542018466
10235441140
1111099a460
1266a227b0
1339a15aac
14233aa244
1515a0a510
hexe088bf4

235441140 has 96 divisors (see below), whose sum is σ = 744024960. Its totient is φ = 55104000.

The previous prime is 235441139. The next prime is 235441153. The reversal of 235441140 is 41144532.

235441140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 235441140.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12990 + ... + 25290.

It is an arithmetic number, because the mean of its divisors is an integer number (7750260).

Almost surely, 2235441140 is an apocalyptic number.

235441140 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 235441140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372012480).

235441140 is an abundant number, since it is smaller than the sum of its proper divisors (508583820).

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

235441140 is a wasteful number, since it uses less digits than its factorization.

235441140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12353 (or 12351 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 235441140 is about 15344.0913709480. The cubic root of 235441140 is about 617.4864765624.

Adding to 235441140 its reverse (41144532), we get a palindrome (276585672).

The spelling of 235441140 in words is "two hundred thirty-five million, four hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 29 30 33 44 55 58 60 66 87 110 116 132 145 165 174 220 290 319 330 348 435 580 638 660 870 957 1276 1595 1740 1914 3190 3828 4785 6380 9570 12301 19140 24602 36903 49204 61505 73806 123010 135311 147612 184515 246020 270622 356729 369030 405933 541244 676555 713458 738060 811866 1070187 1353110 1426916 1623732 1783645 2029665 2140374 2706220 3567290 3924019 4059330 4280748 5350935 7134580 7848038 8118660 10701870 11772057 15696076 19620095 21403740 23544114 39240190 47088228 58860285 78480380 117720570 235441140