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238601088 = 27321119991
BaseRepresentation
bin11100011100011…
…00001110000000
3121121222012011100
432032030032000
5442040213323
635402014400
75625034665
oct1616141600
9547865140
10238601088
11112758590
1267aa7400
133a58119b
142398da6c
1515e31943
hexe38c380

238601088 has 192 divisors, whose sum is σ = 789235200. Its totient is φ = 68428800.

The previous prime is 238601063. The next prime is 238601131. The reversal of 238601088 is 880106832.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240273 + ... + 241263.

It is an arithmetic number, because the mean of its divisors is an integer number (4110600).

Almost surely, 2238601088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238601088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394617600).

238601088 is an abundant number, since it is smaller than the sum of its proper divisors (550634112).

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

238601088 is a wasteful number, since it uses less digits than its factorization.

238601088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 238601088 is about 15446.7177095977. The cubic root of 238601088 is about 620.2367184881.

The spelling of 238601088 in words is "two hundred thirty-eight million, six hundred one thousand, eighty-eight".