Search a number
-
+
113233152 = 283473137
BaseRepresentation
bin1101011111111…
…00110100000000
321220001211200110
412233330310000
5212441430102
615122551320
72543315544
oct657746400
9256054613
10113233152
1158a0a81a
1231b08540
131a5c7b86
1411077a24
159e1a86c
hex6bfcd00

113233152 has 72 divisors (see below), whose sum is σ = 307875456. Its totient is φ = 36929536.

The previous prime is 113233151. The next prime is 113233157. The reversal of 113233152 is 251332311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113233151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34528 + ... + 37664.

It is an arithmetic number, because the mean of its divisors is an integer number (4276048).

Almost surely, 2113233152 is an apocalyptic number.

113233152 is a gapful number since it is divisible by the number (12) 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 113233152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153937728).

113233152 is an abundant number, since it is smaller than the sum of its proper divisors (194642304).

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

113233152 is an equidigital number, since it uses as much as digits as its factorization.

113233152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3203 (or 3189 counting only the distinct ones).

The product of its digits is 540, while the sum is 21.

The square root of 113233152 is about 10641.1067093606. The cubic root of 113233152 is about 483.7910898601.

Adding to 113233152 its reverse (251332311), we get a palindrome (364565463).

The spelling of 113233152 in words is "one hundred thirteen million, two hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 564 752 768 1128 1504 2256 3008 3137 4512 6016 6274 9024 9411 12032 12548 18048 18822 25096 36096 37644 50192 75288 100384 147439 150576 200768 294878 301152 401536 442317 589756 602304 803072 884634 1179512 1204608 1769268 2359024 2409216 3538536 4718048 7077072 9436096 14154144 18872192 28308288 37744384 56616576 113233152