Search a number
-
+
14022202212 = 22324110199323
BaseRepresentation
bin11010000111100100…
…11101001101100100
31100012020020200021200
431003302131031210
5212204140432322
610235224242500
71004324516004
oct150362351544
940166220250
1014022202212
115a46193077
122874010430
1314260b3795
14970416004
1557106b8ac
hex343c9d364

14022202212 has 72 divisors (see below), whose sum is σ = 36349054560. Its totient is φ = 4555102080.

The previous prime is 14022202211. The next prime is 14022202273. The reversal of 14022202212 is 21220222041.

14022202212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14022202211) 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 23 ways as a sum of consecutive naturals, for example, 1499383 + ... + 1508705.

It is an arithmetic number, because the mean of its divisors is an integer number (504847980).

Almost surely, 214022202212 is an apocalyptic number.

14022202212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14022202212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18174527280).

14022202212 is an abundant number, since it is smaller than the sum of its proper divisors (22326852348).

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

14022202212 is a wasteful number, since it uses less digits than its factorization.

14022202212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10393 (or 10388 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 14022202212 its reverse (21220222041), we get a palindrome (35242424253).

The spelling of 14022202212 in words is "fourteen billion, twenty-two million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1019 1476 2038 3057 4076 6114 9171 9323 12228 18342 18646 27969 36684 37292 41779 55938 83558 83907 111876 125337 167116 167814 250674 335628 376011 382243 501348 752022 764486 1146729 1504044 1528972 2293458 3440187 4586916 6880374 9500137 13760748 19000274 28500411 38000548 57000822 85501233 114001644 171002466 342004932 389505617 779011234 1168516851 1558022468 2337033702 3505550553 4674067404 7011101106 14022202212