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230221030032 = 243372291272953
BaseRepresentation
bin1101011001101000111…
…1100010001010010000
3211000020111111002002000
43112122033202022100
512232443040430112
6253432335354000
722430043316200
oct3263217421220
9730214432060
10230221030032
11896aa851384
1238750682900
131892c422776
14b1dda24400
155ec66ad7dc
hex359a3e2290

230221030032 has 480 divisors, whose sum is σ = 801748684800. Its totient is φ = 62987839488.

The previous prime is 230221030031. The next prime is 230221030051. The reversal of 230221030032 is 230030122032.

It is a happy number.

It is a super-3 number, since 3×2302210300323 (a number of 35 digits) contains 333 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 = 230221029987 and 230221030014.

It is not an unprimeable number, because it can be changed into a prime (230221030031) by changing a digit.

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, 77960268 + ... + 77963220.

It is an arithmetic number, because the mean of its divisors is an integer number (1670309760).

Almost surely, 2230221030032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230221030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400874342400).

230221030032 is an abundant number, since it is smaller than the sum of its proper divisors (571527654768).

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

230221030032 is a wasteful number, since it uses less digits than its factorization.

230221030032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3140 (or 3121 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 230221030032 its reverse (230030122032), we get a palindrome (460251152064).

The spelling of 230221030032 in words is "two hundred thirty billion, two hundred twenty-one million, thirty thousand, thirty-two".