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229005052848 = 2433111311233301
BaseRepresentation
bin1101010101000111000…
…0111100101110110000
3210220002202102000222000
43111101300330232300
512223000243142343
6253111541014000
722354646555205
oct3252160745660
9726082360860
10229005052848
1189136422760
12384713b4300
1318797525c40
14b126335cac
155e54a68ed3
hex3551c3cbb0

229005052848 has 320 divisors, whose sum is σ = 773168847360. Its totient is φ = 63980928000.

The previous prime is 229005052847. The next prime is 229005052877. The reversal of 229005052848 is 848250500922.

229005052848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2290050528482 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (229005052847) 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 63 ways as a sum of consecutive naturals, for example, 69372798 + ... + 69376098.

It is an arithmetic number, because the mean of its divisors is an integer number (2416152648).

Almost surely, 2229005052848 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 229005052848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386584423680).

229005052848 is an abundant number, since it is smaller than the sum of its proper divisors (544163794512).

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

229005052848 is a wasteful number, since it uses less digits than its factorization.

229005052848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4465 (or 4453 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 229005052848 in words is "two hundred twenty-nine billion, five million, fifty-two thousand, eight hundred forty-eight".