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235541152 = 25711109877
BaseRepresentation
bin11100000101000…
…01001010100000
3121102012201201101
432002201022200
5440244304102
635212244144
75560031620
oct1602411240
9542181641
10235541152
11110a58610
1266a70654
1339a4c482
14233d4880
1515a29e87
hexe0a12a0

235541152 has 96 divisors (see below), whose sum is σ = 584115840. Its totient is φ = 90823680.

The previous prime is 235541129. The next prime is 235541153. The reversal of 235541152 is 251145532.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 235541152.

It is not an unprimeable number, because it can be changed into a prime (235541153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268138 + ... + 269014.

It is an arithmetic number, because the mean of its divisors is an integer number (6084540).

Almost surely, 2235541152 is an apocalyptic number.

235541152 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 235541152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292057920).

235541152 is an abundant number, since it is smaller than the sum of its proper divisors (348574688).

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

235541152 is a wasteful number, since it uses less digits than its factorization.

235541152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1006 counting only the distinct ones).

The product of its digits is 6000, while the sum is 28.

The square root of 235541152 is about 15347.3499992670. The cubic root of 235541152 is about 617.5738973012.

Adding to 235541152 its reverse (251145532), we get a palindrome (486686684).

The spelling of 235541152 in words is "two hundred thirty-five million, five hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 109 112 154 176 218 224 308 352 436 616 763 872 877 1199 1232 1526 1744 1754 2398 2464 3052 3488 3508 4796 6104 6139 7016 8393 9592 9647 12208 12278 14032 16786 19184 19294 24416 24556 28064 33572 38368 38588 49112 67144 67529 77176 95593 98224 134288 135058 154352 191186 196448 268576 270116 308704 382372 540232 669151 764744 1051523 1080464 1338302 1529488 2103046 2160928 2676604 3058976 4206092 5353208 7360661 8412184 10706416 14721322 16824368 21412832 29442644 33648736 58885288 117770576 235541152