Search a number
-
+
235041264 = 24382239
BaseRepresentation
bin11100000001001…
…11000111110000
3121101021100000000
432000213013300
5440132310024
635153430000
75552550333
oct1600470760
9541240000
10235041264
11110746a87
126686b300
1339905a93
142330461a
151597bcc9
hexe0271f0

235041264 has 90 divisors (see below), whose sum is σ = 683359040. Its totient is φ = 78312096.

The previous prime is 235041223. The next prime is 235041271. The reversal of 235041264 is 462140532.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 103857 + ... + 106095.

Almost surely, 2235041264 is an apocalyptic number.

235041264 is a gapful number since it is divisible by the number (24) 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 235041264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341679520).

235041264 is an abundant number, since it is smaller than the sum of its proper divisors (448317776).

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

235041264 is an frugal number, since it uses more digits than its factorization.

235041264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2271 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 235041264 is about 15331.0555409600. The cubic root of 235041264 is about 617.1366963671.

Adding to 235041264 its reverse (462140532), we get a palindrome (697181796).

The spelling of 235041264 in words is "two hundred thirty-five million, forty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2187 2239 2916 3888 4374 4478 5832 6561 6717 8748 8956 11664 13122 13434 17496 17912 20151 26244 26868 34992 35824 40302 52488 53736 60453 80604 104976 107472 120906 161208 181359 241812 322416 362718 483624 544077 725436 967248 1088154 1450872 1632231 2176308 2901744 3264462 4352616 4896693 6528924 8705232 9793386 13057848 14690079 19586772 26115696 29380158 39173544 58760316 78347088 117520632 235041264