Search a number
-
+
235333240 = 235192313463
BaseRepresentation
bin11100000011011…
…10011001111000
3121101211011111221
432001232121320
5440221130430
635204001424
75555204512
oct1601563170
9541734457
10235333240
1111092638a
1266990274
13399a894c
142337cbb2
15159d857a
hexe06e678

235333240 has 64 divisors (see below), whose sum is σ = 581644800. Its totient is φ = 85295232.

The previous prime is 235333237. The next prime is 235333249. The reversal of 235333240 is 42333532.

235333240 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 (235333249) 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, 10749 + ... + 24211.

It is an arithmetic number, because the mean of its divisors is an integer number (9088200).

Almost surely, 2235333240 is an apocalyptic number.

235333240 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 235333240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290822400).

235333240 is an abundant number, since it is smaller than the sum of its proper divisors (346311560).

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

235333240 is a wasteful number, since it uses less digits than its factorization.

235333240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13516 (or 13512 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 25.

The square root of 235333240 is about 15340.5749566305. The cubic root of 235333240 is about 617.3921331361.

Adding to 235333240 its reverse (42333532), we get a palindrome (277666772).

The spelling of 235333240 in words is "two hundred thirty-five million, three hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 19 20 23 38 40 46 76 92 95 115 152 184 190 230 380 437 460 760 874 920 1748 2185 3496 4370 8740 13463 17480 26926 53852 67315 107704 134630 255797 269260 309649 511594 538520 619298 1023188 1238596 1278985 1548245 2046376 2477192 2557970 3096490 5115940 5883331 6192980 10231880 11766662 12385960 23533324 29416655 47066648 58833310 117666620 235333240