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230202525168 = 243271126130941
BaseRepresentation
bin1101011001100100100…
…0111100010111110000
3211000012012122221011200
43112121020330113300
512232423321301133
6253430435011200
722426430115150
oct3263110742760
9730165587150
10230202525168
11896a0362400
1238746439b00
1318928643a45
14b1db3a8760
155ec4c55913
hex359923c5f0

230202525168 has 360 divisors, whose sum is σ = 822596287968. Its totient is φ = 58810752000.

The previous prime is 230202525167. The next prime is 230202525181. The reversal of 230202525168 is 861525202032.

It is a happy number.

230202525168 is digitally balanced in base 2 and base 3, because in such bases 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230202525167) 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 71 ways as a sum of consecutive naturals, for example, 7424578 + ... + 7455518.

Almost surely, 2230202525168 is an apocalyptic number.

230202525168 is a gapful number since it is divisible by the number (28) 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 230202525168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411298143984).

230202525168 is an abundant number, since it is smaller than the sum of its proper divisors (592393762800).

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

230202525168 is a wasteful number, since it uses less digits than its factorization.

230202525168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31045 (or 31025 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 230202525168 in words is "two hundred thirty billion, two hundred two million, five hundred twenty-five thousand, one hundred sixty-eight".