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235452327000 = 23353112648629
BaseRepresentation
bin1101101101001000001…
…1010110010001011000
3211111202002002111102120
43123102003112101120
512324201243431000
6300055412301240
723003504520642
oct3332203262130
9744662074376
10235452327000
1190944778200
1239770611820
1319284175a67
14b5786d3892
1561d0aa26a0
hex36d20d6458

235452327000 has 192 divisors, whose sum is σ = 807466514400. Its totient is φ = 57079264000.

The previous prime is 235452326983. The next prime is 235452327001. The reversal of 235452327000 is 723254532.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235452327001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38686 + ... + 687314.

Almost surely, 2235452327000 is an apocalyptic number.

235452327000 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 235452327000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403733257200).

235452327000 is an abundant number, since it is smaller than the sum of its proper divisors (572014187400).

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

235452327000 is a wasteful number, since it uses less digits than its factorization.

235452327000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648675 (or 648650 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 33.

The spelling of 235452327000 in words is "two hundred thirty-five billion, four hundred fifty-two million, three hundred twenty-seven thousand".