Search a number
-
+
10222132219 = 136471215329
BaseRepresentation
bin10011000010100100…
…10101101111111011
3222101101202010020121
421201102111233323
5131413331212334
64410155434111
7511212455515
oct114122255773
928341663217
1010222132219
114376144262
121b93455937
13c6ba23560
146cd866bb5
153ec639db4
hex261495bfb

10222132219 has 8 divisors (see below), whose sum is σ = 11025473760. Its totient is φ = 9421222656.

The previous prime is 10222132201. The next prime is 10222132223. The reversal of 10222132219 is 91223122201.

10222132219 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10222132219 - 27 = 10222132091 is a prime.

It is a super-2 number, since 2×102221322192 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10222132193 and 10222132202.

It is not an unprimeable number, because it can be changed into a prime (10222132229) 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 7 ways as a sum of consecutive naturals, for example, 599254 + ... + 616075.

It is an arithmetic number, because the mean of its divisors is an integer number (1378184220).

Almost surely, 210222132219 is an apocalyptic number.

10222132219 is a deficient number, since it is larger than the sum of its proper divisors (803341541).

10222132219 is a wasteful number, since it uses less digits than its factorization.

10222132219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215989.

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 10222132219 in words is "ten billion, two hundred twenty-two million, one hundred thirty-two thousand, two hundred nineteen".

Divisors: 1 13 647 8411 1215329 15799277 786317863 10222132219