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229190046048 = 25338311328283
BaseRepresentation
bin1101010101110011001…
…0101001000101100000
3210220120122111122221000
43111130302221011200
512223340122433143
6253142150032000
722362354151035
oct3253462510540
9726518448830
10229190046048
11892208958a7
1238503348600
13187c6957782
14b142b2d38c
155e65e0bbd3
hex355cca9160

229190046048 has 192 divisors, whose sum is σ = 682535911680. Its totient is φ = 74805663744.

The previous prime is 229190046037. The next prime is 229190046049. The reversal of 229190046048 is 840640091922.

229190046048 is a `hidden beast` number, since 2 + 29 + 19 + 0 + 0 + 4 + 604 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 229190045994 and 229190046012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229190046049) 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 31 ways as a sum of consecutive naturals, for example, 8089315 + ... + 8117597.

It is an arithmetic number, because the mean of its divisors is an integer number (3554874540).

Almost surely, 2229190046048 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 229190046048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341267955840).

229190046048 is an abundant number, since it is smaller than the sum of its proper divisors (453345865632).

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

229190046048 is a wasteful number, since it uses less digits than its factorization.

229190046048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28498 (or 28484 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 229190046048 in words is "two hundred twenty-nine billion, one hundred ninety million, forty-six thousand, forty-eight".