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235133052 = 2237111714969
BaseRepresentation
bin11100000001111…
…01100001111100
3121101102222220120
432000331201330
5440143224202
635155414540
75553412050
oct1600754174
9541388816
10235133052
111107a9a40
12668b4450
13399387ab
1423329c60
15159990bc
hexe03d87c

235133052 has 96 divisors (see below), whose sum is σ = 724308480. Its totient is φ = 57477120.

The previous prime is 235133021. The next prime is 235133053. The reversal of 235133052 is 250331532.

It is a happy number.

235133052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235133053) 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, 8224 + ... + 23192.

It is an arithmetic number, because the mean of its divisors is an integer number (7544880).

Almost surely, 2235133052 is an apocalyptic number.

235133052 is a gapful number since it is divisible by the number (22) 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 235133052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362154240).

235133052 is an abundant number, since it is smaller than the sum of its proper divisors (489175428).

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

235133052 is a wasteful number, since it uses less digits than its factorization.

235133052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15011 (or 15009 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 235133052 is about 15334.0487804102. The cubic root of 235133052 is about 617.2170203777.

Adding to 235133052 its reverse (250331532), we get a palindrome (485464584).

It can be divided in two parts, 23513 and 3052, that added together give a triangular number (26565 = T230).

The spelling of 235133052 in words is "two hundred thirty-five million, one hundred thirty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 51 66 68 77 84 102 119 132 154 187 204 231 238 308 357 374 462 476 561 714 748 924 1122 1309 1428 2244 2618 3927 5236 7854 14969 15708 29938 44907 59876 89814 104783 164659 179628 209566 254473 314349 329318 419132 493977 508946 628698 658636 763419 987954 1017892 1152613 1257396 1526838 1781311 1975908 2305226 2799203 3053676 3457839 3562622 4610452 5343933 5598406 6915678 7125244 8397609 10687866 11196812 13831356 16795218 19594421 21375732 33590436 39188842 58783263 78377684 117566526 235133052