Search a number
-
+
222137834848 = 25193183149953
BaseRepresentation
bin1100111011100001110…
…0100101110101100000
3210020101011112012211121
43032320130211311200
512114414241203343
6250014304422024
722022532304366
oct3167034456540
9706334465747
10222137834848
1186232020186
1237075617914
1317c418a0b37
14aa742a1636
155ba1c2caed
hex33b8725d60

222137834848 has 192 divisors, whose sum is σ = 484662528000. Its totient is φ = 99821998080.

The previous prime is 222137834827. The next prime is 222137834857. The reversal of 222137834848 is 848438731222.

222137834848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 222137834795 and 222137834804.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 233092740 + ... + 233093692.

It is an arithmetic number, because the mean of its divisors is an integer number (2524284000).

Almost surely, 2222137834848 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 222137834848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242331264000).

222137834848 is an abundant number, since it is smaller than the sum of its proper divisors (262524693152).

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

222137834848 is a wasteful number, since it uses less digits than its factorization.

222137834848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1237 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 52.

The spelling of 222137834848 in words is "two hundred twenty-two billion, one hundred thirty-seven million, eight hundred thirty-four thousand, eight hundred forty-eight".