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238265280 = 263351123109
BaseRepresentation
bin11100011001110…
…10001111000000
3121121100010112000
432030322033000
5441443442110
635350504000
75622135651
oct1614721700
9547303460
10238265280
11112549260
1267965000
133a494396
1423903528
1515db71c0
hexe33a3c0

238265280 has 448 divisors, whose sum is σ = 965606400. Its totient is φ = 54743040.

The previous prime is 238265267. The next prime is 238265281. The reversal of 238265280 is 82562832.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238265281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2185866 + ... + 2185974.

Almost surely, 2238265280 is an apocalyptic number.

238265280 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 238265280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482803200).

238265280 is an abundant number, since it is smaller than the sum of its proper divisors (727341120).

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

238265280 is a wasteful number, since it uses less digits than its factorization.

238265280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 238265280 is about 15435.8440002483. The cubic root of 238265280 is about 619.9456074378.

The spelling of 238265280 in words is "two hundred thirty-eight million, two hundred sixty-five thousand, two hundred eighty".