Search a number
-
+
235254240 = 25335135971
BaseRepresentation
bin11100000010110…
…11000111100000
3121101200011011000
432001123013200
5440211113430
635202152000
75554425264
oct1601330740
9541604130
10235254240
11110881aa1
1266952600
133997b9c0
142335c0a4
15159bee60
hexe05b1e0

235254240 has 384 divisors, whose sum is σ = 914457600. Its totient is φ = 56125440.

The previous prime is 235254233. The next prime is 235254241. The reversal of 235254240 is 42452532.

It is a happy number.

235254240 is a `hidden beast` number, since 235 + 2 + 5 + 424 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235254241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3313405 + ... + 3313475.

It is an arithmetic number, because the mean of its divisors is an integer number (2381400).

Almost surely, 2235254240 is an apocalyptic number.

235254240 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 235254240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457228800).

235254240 is an abundant number, since it is smaller than the sum of its proper divisors (679203360).

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

235254240 is a wasteful number, since it uses less digits than its factorization.

235254240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 235254240 is about 15337.9998696049. Note that the first 3 decimals coincide. The cubic root of 235254240 is about 617.3230404214.

The spelling of 235254240 in words is "two hundred thirty-five million, two hundred fifty-four thousand, two hundred forty".