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230914803840 = 27357233124097
BaseRepresentation
bin1101011100001110011…
…0000100100010000000
3211002000211221102211020
43113003212010202000
512240403142210330
6254025241345440
722453166306310
oct3270346044200
9732024842736
10230914803840
1189a26428966
1238904a98280
1318a10091c06
14b267c1b440
156017551210
hex35c3984880

230914803840 has 512 divisors, whose sum is σ = 906115645440. Its totient is φ = 48855121920.

The previous prime is 230914803827. The next prime is 230914803841. The reversal of 230914803840 is 48308419032.

230914803840 is digitally balanced in base 3, 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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 230914803792 and 230914803801.

It is not an unprimeable number, because it can be changed into a prime (230914803841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9570672 + ... + 9594768.

It is an arithmetic number, because the mean of its divisors is an integer number (1769757120).

Almost surely, 2230914803840 is an apocalyptic number.

230914803840 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 230914803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453057822720).

230914803840 is an abundant number, since it is smaller than the sum of its proper divisors (675200841600).

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

230914803840 is a wasteful number, since it uses less digits than its factorization.

230914803840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24180 (or 24168 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 230914803840 in words is "two hundred thirty billion, nine hundred fourteen million, eight hundred three thousand, eight hundred forty".