Search a number
-
+
238381500 = 22353773311
BaseRepresentation
bin11100011010101…
…10100110111100
3121121120000221110
432031112212330
5442011202000
635353202020
75623131540
oct1615264674
9547500843
10238381500
11112618605
1267a00310
133a505256
1423933a20
1515ddb850
hexe3569bc

238381500 has 192 divisors, whose sum is σ = 806787072. Its totient is φ = 53568000.

The previous prime is 238381487. The next prime is 238381501. The reversal of 238381500 is 5183832.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238381501) 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, 766345 + ... + 766655.

It is an arithmetic number, because the mean of its divisors is an integer number (4202016).

Almost surely, 2238381500 is an apocalyptic number.

238381500 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 238381500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403393536).

238381500 is an abundant number, since it is smaller than the sum of its proper divisors (568405572).

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

238381500 is a wasteful number, since it uses less digits than its factorization.

238381500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 238381500 is about 15439.6081556495. The cubic root of 238381500 is about 620.0463891756.

The spelling of 238381500 in words is "two hundred thirty-eight million, three hundred eighty-one thousand, five hundred".