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238425600 = 293527887
BaseRepresentation
bin11100011011000…
…01011000000000
3121121122021102210
432031201120000
5442014104400
635354142120
75623404240
oct1615413000
9547567383
10238425600
11112648756
1267a21940
133a51c34a
1423945b20
1515de9950
hexe361600

238425600 has 240 divisors, whose sum is σ = 901156608. Its totient is φ = 54435840.

The previous prime is 238425581. The next prime is 238425631. The reversal of 238425600 is 6524832.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268357 + ... + 269243.

Almost surely, 2238425600 is an apocalyptic number.

238425600 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 238425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450578304).

238425600 is an abundant number, since it is smaller than the sum of its proper divisors (662731008).

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

238425600 is an equidigital number, since it uses as much as digits as its factorization.

238425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 238425600 is about 15441.0362346573. The cubic root of 238425600 is about 620.0846225113.

The spelling of 238425600 in words is "two hundred thirty-eight million, four hundred twenty-five thousand, six hundred".