Search a number
-
+
238950000 = 24345559
BaseRepresentation
bin11100011111000…
…01011001110000
3121122121220210000
432033201121300
5442132400000
635413310000
75631020142
oct1617413160
9548556700
10238950000
11112976743
1268035300
133a673c43
1423a40c92
1515ea0000
hexe3e1670

238950000 has 300 divisors, whose sum is σ = 879084360. Its totient is φ = 62640000.

The previous prime is 238949999. The next prime is 238950031. The reversal of 238950000 is 59832.

238950000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (300).

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 59 ways as a sum of consecutive naturals, for example, 4049971 + ... + 4050029.

Almost surely, 2238950000 is an apocalyptic number.

238950000 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 238950000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439542180).

238950000 is an abundant number, since it is smaller than the sum of its proper divisors (640134360).

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

238950000 is an frugal number, since it uses more digits than its factorization.

238950000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 238950000 is about 15458.0076335859. The cubic root of 238950000 is about 620.5389001687.

The spelling of 238950000 in words is "two hundred thirty-eight million, nine hundred fifty thousand".