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230230330020 = 22335472257751
BaseRepresentation
bin1101011001101011001…
…1000000101010100100
3211000021010222120021000
43112122303000222210
512233002431030040
6253433310553300
722430215341645
oct3263263005244
9730233876230
10230230330020
1189705023619
1238753808830
131893132a812
14b200d656cc
155ec73e9130
hex359acc0aa4

230230330020 has 288 divisors, whose sum is σ = 735662108160. Its totient is φ = 59774976000.

The previous prime is 230230330007. The next prime is 230230330079. The reversal of 230230330020 is 20033032032.

230230330020 is a `hidden beast` number, since 2 + 302 + 30 + 330 + 0 + 2 + 0 = 666.

It is a super-2 number, since 2×2302303300202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230230329975 and 230230330002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 306564645 + ... + 306565395.

It is an arithmetic number, because the mean of its divisors is an integer number (2554382320).

Almost surely, 2230230330020 is an apocalyptic number.

230230330020 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 230230330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367831054080).

230230330020 is an abundant number, since it is smaller than the sum of its proper divisors (505431778140).

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

230230330020 is a wasteful number, since it uses less digits than its factorization.

230230330020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 230230330020 its reverse (20033032032), we get a palindrome (250263362052).

The spelling of 230230330020 in words is "two hundred thirty billion, two hundred thirty million, three hundred thirty thousand, twenty".