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235315020 = 223517281821
BaseRepresentation
bin11100000011010…
…01111101001100
3121101210020112010
432001221331030
5440220040040
635203341220
75555100423
oct1601517514
9541706463
10235315020
11110913726
1266981810
13399a0575
14233762ba
15159d2e80
hexe069f4c

235315020 has 96 divisors (see below), whose sum is σ = 700975296. Its totient is φ = 58777600.

The previous prime is 235314997. The next prime is 235315027. The reversal of 235315020 is 20513532.

235315020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (235315027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286210 + ... + 287030.

It is an arithmetic number, because the mean of its divisors is an integer number (7301826).

Almost surely, 2235315020 is an apocalyptic number.

235315020 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 235315020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350487648).

235315020 is an abundant number, since it is smaller than the sum of its proper divisors (465660276).

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

235315020 is a wasteful number, since it uses less digits than its factorization.

235315020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 235315020 is about 15339.9810951644. The cubic root of 235315020 is about 617.3761994542.

Adding to 235315020 its reverse (20513532), we get a palindrome (255828552).

The spelling of 235315020 in words is "two hundred thirty-five million, three hundred fifteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 281 340 510 562 821 843 1020 1124 1405 1642 1686 2463 2810 3284 3372 4105 4215 4777 4926 5620 8210 8430 9554 9852 12315 13957 14331 16420 16860 19108 23885 24630 27914 28662 41871 47770 49260 55828 57324 69785 71655 83742 95540 139570 143310 167484 209355 230701 279140 286620 418710 461402 692103 837420 922804 1153505 1384206 2307010 2768412 3460515 3921917 4614020 6921030 7843834 11765751 13842060 15687668 19609585 23531502 39219170 47063004 58828755 78438340 117657510 235315020