Search a number
-
+
235650240 = 26325711689
BaseRepresentation
bin11100000101110…
…11110011000000
3121102102021100200
432002323303000
5440311301430
635214445200
75560664640
oct1602736300
9542367320
10235650240
11111022571
1266b03800
1339a8a017
1423422520
1515a4c460
hexe0bbcc0

235650240 has 168 divisors, whose sum is σ = 926409120. Its totient is φ = 53858304.

The previous prime is 235650229. The next prime is 235650269. The reversal of 235650240 is 42056532.

235650240 is a `hidden beast` number, since 2 + 3 + 5 + 650 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×2356502402 = 111062071224115200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14316 + ... + 26004.

It is an arithmetic number, because the mean of its divisors is an integer number (5514340).

Almost surely, 2235650240 is an apocalyptic number.

235650240 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 235650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463204560).

235650240 is an abundant number, since it is smaller than the sum of its proper divisors (690758880).

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

235650240 is a wasteful number, since it uses less digits than its factorization.

235650240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11719 (or 11706 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 235650240 is about 15350.9035564686. The cubic root of 235650240 is about 617.6692231822.

The spelling of 235650240 in words is "two hundred thirty-five million, six hundred fifty thousand, two hundred forty".