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6236223840 = 2532571125113
BaseRepresentation
bin1011100111011010…
…10011100101100000
3121002121112222212100
411303231103211200
5100232433130330
62510451530400
7310353012420
oct56355234540
917077488770
106236223840
112710205300
1212605b9a00
13784cc6ba2
14432340480
1526774a060
hex173b53960

6236223840 has 432 divisors, whose sum is σ = 26738528544. Its totient is φ = 1295585280.

The previous prime is 6236223839. The next prime is 6236223857. The reversal of 6236223840 is 483226326.

6236223840 is a `hidden beast` number, since 6 + 23 + 622 + 3 + 8 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6236223795 and 6236223804.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1217124 + ... + 1222236.

It is an arithmetic number, because the mean of its divisors is an integer number (61894742).

Almost surely, 26236223840 is an apocalyptic number.

6236223840 is a gapful number since it is divisible by the number (60) 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 6236223840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13369264272).

6236223840 is an abundant number, since it is smaller than the sum of its proper divisors (20502304704).

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

6236223840 is a wasteful number, since it uses less digits than its factorization.

6236223840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5163 (or 5141 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 6236223840 is about 78969.7653535833. The cubic root of 6236223840 is about 1840.6613722028.

The spelling of 6236223840 in words is "six billion, two hundred thirty-six million, two hundred twenty-three thousand, eight hundred forty".