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230161946850 = 233521121782883
BaseRepresentation
bin1101011001011010111…
…0001001100011100010
3211000002101022100012000
43112112232021203202
512232332424244400
6253422425144430
722425425161053
oct3262656114342
9730071270160
10230161946850
118967a467300
123873492b116
1318920106bc4
14b1d5c4472a
155ec13dc600
hex3596b898e2

230161946850 has 288 divisors, whose sum is σ = 738138381120. Its totient is φ = 52514035200.

The previous prime is 230161946837. The next prime is 230161946851. The reversal of 230161946850 is 58649161032.

230161946850 is a `hidden beast` number, since 23 + 0 + 1 + 619 + 4 + 6 + 8 + 5 + 0 = 666.

230161946850 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 (45).

It is a junction number, because it is equal to n+sod(n) for n = 230161946796 and 230161946805.

It is not an unprimeable number, because it can be changed into a prime (230161946851) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 2735509 + ... + 2818391.

It is an arithmetic number, because the mean of its divisors is an integer number (2562980490).

Almost surely, 2230161946850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230161946850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369069190560).

230161946850 is an abundant number, since it is smaller than the sum of its proper divisors (507976434270).

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

230161946850 is a wasteful number, since it uses less digits than its factorization.

230161946850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82943 (or 82921 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 230161946850 in words is "two hundred thirty billion, one hundred sixty-one million, nine hundred forty-six thousand, eight hundred fifty".