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238000080 = 24351924167
BaseRepresentation
bin11100010111110…
…01011111010000
3121120211122201210
432023321133100
5441412000310
635341100120
75616652533
oct1613713720
9546748653
10238000080
11112387a8a
1267857640
133a400766
1423874a1a
1515d63820
hexe2f97d0

238000080 has 240 divisors, whose sum is σ = 809573184. Its totient is φ = 57784320.

The previous prime is 238000069. The next prime is 238000111. The reversal of 238000080 is 80000832.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3552207 + ... + 3552273.

Almost surely, 2238000080 is an apocalyptic number.

238000080 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 238000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404786592).

238000080 is an abundant number, since it is smaller than the sum of its proper divisors (571573104).

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

238000080 is a wasteful number, since it uses less digits than its factorization.

238000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 238000080 is about 15427.2512133562. The cubic root of 238000080 is about 619.7155129100.

The spelling of 238000080 in words is "two hundred thirty-eight million, eighty", and thus it is an aban number.