Search a number
-
+
238275072 = 293278389
BaseRepresentation
bin11100011001111…
…00101000000000
3121121100121221200
432030330220000
5441444300242
635351021200
75622206340
oct1614745000
9547317850
10238275072
11112555652
126796a800
133a498989
1423906d20
1515dba04c
hexe33ca00

238275072 has 240 divisors, whose sum is σ = 804323520. Its totient is φ = 66502656.

The previous prime is 238275061. The next prime is 238275119. The reversal of 238275072 is 270572832.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2677204 + ... + 2677292.

It is an arithmetic number, because the mean of its divisors is an integer number (3351348).

Almost surely, 2238275072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238275072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402161760).

238275072 is an abundant number, since it is smaller than the sum of its proper divisors (566048448).

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

238275072 is an equidigital number, since it uses as much as digits as its factorization.

238275072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 238275072 is about 15436.1611808118. The cubic root of 238275072 is about 619.9540999665.

The spelling of 238275072 in words is "two hundred thirty-eight million, two hundred seventy-five thousand, seventy-two".