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238006348600 = 23521190031743
BaseRepresentation
bin1101110110101001001…
…0001010101100111000
3211202100001221020102011
43131222102022230320
512344414111123400
6301201050015304
723124006404026
oct3355222125470
9752301836364
10238006348600
1191a35419459
123a163a17534
13195a033ac47
14b73b9a7716
1562cedee8ba
hex376a48ab38

238006348600 has 24 divisors (see below), whose sum is σ = 553364760960. Its totient is φ = 95202539360.

The previous prime is 238006348577. The next prime is 238006348621. The reversal of 238006348600 is 6843600832.

238006348600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 595015672 + ... + 595016071.

It is an arithmetic number, because the mean of its divisors is an integer number (23056865040).

Almost surely, 2238006348600 is an apocalyptic number.

238006348600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238006348600 is an abundant number, since it is smaller than the sum of its proper divisors (315358412360).

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

238006348600 is a wasteful number, since it uses less digits than its factorization.

238006348600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190031759 (or 1190031750 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 238006348600 in words is "two hundred thirty-eight billion, six million, three hundred forty-eight thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1190031743 2380063486 4760126972 5950158715 9520253944 11900317430 23800634860 29750793575 47601269720 59501587150 119003174300 238006348600