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235208064 = 27371353127
BaseRepresentation
bin11100000010011…
…11110110000000
3121101120210210210
432001033312000
5440203124224
635201154120
75554143540
oct1601176600
9541523723
10235208064
11110850333
126692b940
1339963990
1423349320
15159b1429
hexe04fd80

235208064 has 256 divisors, whose sum is σ = 789626880. Its totient is φ = 60383232.

The previous prime is 235208063. The next prime is 235208101. The reversal of 235208064 is 460802532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235208063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1851969 + ... + 1852095.

It is an arithmetic number, because the mean of its divisors is an integer number (3084480).

Almost surely, 2235208064 is an apocalyptic number.

235208064 is a gapful number since it is divisible by the number (24) 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 235208064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394813440).

235208064 is an abundant number, since it is smaller than the sum of its proper divisors (554418816).

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

235208064 is a wasteful number, since it uses less digits than its factorization.

235208064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 205 counting only the distinct ones).

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

The square root of 235208064 is about 15336.4945147188. The cubic root of 235208064 is about 617.2826481293.

The spelling of 235208064 in words is "two hundred thirty-five million, two hundred eight thousand, sixty-four".