Search a number
-
+
238241520 = 243351137271
BaseRepresentation
bin11100011001101…
…00011011110000
3121121021220221000
432030310123300
5441442212040
635350202000
75622006456
oct1614643360
9547256830
10238241520
11112532420
1267953300
133a48661a
14238d89d6
1515db0130
hexe3346f0

238241520 has 320 divisors, whose sum is σ = 922798080. Its totient is φ = 55987200.

The previous prime is 238241503. The next prime is 238241533. The reversal of 238241520 is 25142832.

238241520 is a `hidden beast` number, since 23 + 82 + 41 + 520 = 666.

238241520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 878985 + ... + 879255.

It is an arithmetic number, because the mean of its divisors is an integer number (2883744).

Almost surely, 2238241520 is an apocalyptic number.

238241520 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 238241520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461399040).

238241520 is an abundant number, since it is smaller than the sum of its proper divisors (684556560).

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

238241520 is a wasteful number, since it uses less digits than its factorization.

238241520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 238241520 is about 15435.0743438443. The cubic root of 238241520 is about 619.9249995992.

The spelling of 238241520 in words is "two hundred thirty-eight million, two hundred forty-one thousand, five hundred twenty".