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238328000000 = 2956313
BaseRepresentation
bin1101110111110101110…
…1001010111000000000
3211210011111011211011222
43131331131022320000
512401043432000000
6301253020054212
723134663401146
oct3357535127000
9753144154158
10238328000000
119208aa40962
123a233694368
1319621b79a0c
14b76c5b5596
1562ed288a85
hex377d74ae00

238328000000 has 280 divisors, whose sum is σ = 615070876992. Its totient is φ = 92256000000.

The previous prime is 238327999991. The next prime is 238328000003. The reversal of 238328000000 is 823832.

The cubic root of 238328000000 is 6200.

It is a perfect power (a cube), and thus also a powerful number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238328000003) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7687999985 + ... + 7688000015.

Almost surely, 2238328000000 is an apocalyptic number.

238328000000 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 238328000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307535438496).

238328000000 is an abundant number, since it is smaller than the sum of its proper divisors (376742876992).

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

238328000000 is an frugal number, since it uses more digits than its factorization.

238328000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 238328000000 its reverse (823832), we get a palindrome (238328823832).

The spelling of 238328000000 in words is "two hundred thirty-eight billion, three hundred twenty-eight million", and thus it is an aban number.