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238255668 = 2235719297
BaseRepresentation
bin11100011001101…
…11111000110100
3121121022122100000
432030313320310
5441443140133
635350351300
75622065640
oct1614677064
9547278300
10238255668
11112542012
126795b530
133a48cbb1
14238ddc20
1515db4413
hexe337e34

238255668 has 216 divisors, whose sum is σ = 761097792. Its totient is φ = 63825408.

The previous prime is 238255657. The next prime is 238255673. The reversal of 238255668 is 866552832.

238255668 is a `hidden beast` number, since 2 + 3 + 82 + 5 + 566 + 8 = 666.

238255668 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (691200) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2456196 + ... + 2456292.

Almost surely, 2238255668 is an apocalyptic number.

238255668 is a gapful number since it is divisible by the number (28) 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 238255668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380548896).

238255668 is an abundant number, since it is smaller than the sum of its proper divisors (522842124).

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

238255668 is a wasteful number, since it uses less digits than its factorization.

238255668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 128 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 238255668 is about 15435.5326438708. The cubic root of 238255668 is about 619.9372707954.

The spelling of 238255668 in words is "two hundred thirty-eight million, two hundred fifty-five thousand, six hundred sixty-eight".