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238696227840 = 21035719331353
BaseRepresentation
bin1101111001001101100…
…1110110010000000000
3211211010011001201211010
43132103121312100000
512402322213242330
6301353332320520
723150054313540
oct3362331662000
9754104051733
10238696227840
1192259885994
123a316a73140
1319680245805
14b7a5469320
1563207733b0
hex3793676400

238696227840 has 704 divisors, whose sum is σ = 923826493440. Its totient is φ = 51385466880.

The previous prime is 238696227817. The next prime is 238696227841. The reversal of 238696227840 is 48722696832.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (238696227841) 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 63 ways as a sum of consecutive naturals, for example, 676193104 + ... + 676193456.

Almost surely, 2238696227840 is an apocalyptic number.

238696227840 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 238696227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461913246720).

238696227840 is an abundant number, since it is smaller than the sum of its proper divisors (685130265600).

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

238696227840 is a wasteful number, since it uses less digits than its factorization.

238696227840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 238696227840 in words is "two hundred thirty-eight billion, six hundred ninety-six million, two hundred twenty-seven thousand, eight hundred forty".