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230838543936 = 263271113323103
BaseRepresentation
bin1101011011111100001…
…1001010011001000000
3211001211112110000220100
43112333003022121000
512240224131401221
6254013515042400
722451252151240
oct3267703123100
9731745400810
10230838543936
1189997381750
12388a3440400
13189ca341000
14b25ba49b20
1560109da926
hex35bf0ca640

230838543936 has 1344 divisors, whose sum is σ = 941542318080. Its totient is φ = 52425584640.

The previous prime is 230838543899. The next prime is 230838543941. The reversal of 230838543936 is 639345838032.

It is a happy number.

230838543936 is a `hidden beast` number, since 2 + 3 + 0 + 8 + 3 + 8 + 543 + 93 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2241150861 + ... + 2241150963.

It is an arithmetic number, because the mean of its divisors is an integer number (700552320).

Almost surely, 2230838543936 is an apocalyptic number.

230838543936 is a gapful number since it is divisible by the number (26) 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 230838543936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470771159040).

230838543936 is an abundant number, since it is smaller than the sum of its proper divisors (710703774144).

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

230838543936 is a wasteful number, since it uses less digits than its factorization.

230838543936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 230838543936 in words is "two hundred thirty billion, eight hundred thirty-eight million, five hundred forty-three thousand, nine hundred thirty-six".