Search a number
-
+
212211661140 = 223251178953673
BaseRepresentation
bin1100010110100011001…
…1001111100101010100
3202021202101200100100100
43011220303033211110
511434102141124030
6241253320214100
721221542233423
oct3055063174524
9667671610310
10212211661140
1181aa8a4aa36
123516530a330
131701c29197b
14a3b1c792ba
1557c05a4360
hex3168ccf954

212211661140 has 36 divisors (see below), whose sum is σ = 643708706004. Its totient is φ = 56589776256.

The previous prime is 212211661139. The next prime is 212211661159. The reversal of 212211661140 is 41166112212.

212211661140 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 1 + 1 + 6 + 611 + 40 = 666.

212211661140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 37275252624 + 174936408516 = 193068^2 + 418254^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 589476657 + ... + 589477016.

It is an arithmetic number, because the mean of its divisors is an integer number (17880797389).

Almost surely, 2212211661140 is an apocalyptic number.

212211661140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211661140 is an abundant number, since it is smaller than the sum of its proper divisors (431497044864).

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

212211661140 is a wasteful number, since it uses less digits than its factorization.

212211661140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178953688 (or 1178953683 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 212211661140 its reverse (41166112212), we get a palindrome (253377773352).

The spelling of 212211661140 in words is "two hundred twelve billion, two hundred eleven million, six hundred sixty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1178953673 2357907346 3536861019 4715814692 5894768365 7073722038 10610583057 11789536730 14147444076 17684305095 21221166114 23579073460 35368610190 42442332228 53052915285 70737220380 106105830570 212211661140