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213223022220 = 2235132711008719
BaseRepresentation
bin1100011010010100010…
…1010001111010001100
3202101100212201210221010
43012211011101322030
511443140043202340
6241541525205220
721255602533125
oct3064505217214
9671325653833
10213223022220
118247792353a
12353a7b60810
1317150979090
14a46a30304c
15582e27bb80
hex31a5151e8c

213223022220 has 96 divisors (see below), whose sum is σ = 645322567680. Its totient is φ = 52291941120.

The previous prime is 213223022191. The next prime is 213223022267. The reversal of 213223022220 is 22220322312.

213223022220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2132230222202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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, 292980 + ... + 715739.

It is an arithmetic number, because the mean of its divisors is an integer number (6722110080).

Almost surely, 2213223022220 is an apocalyptic number.

213223022220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213223022220 is an abundant number, since it is smaller than the sum of its proper divisors (432099545460).

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

213223022220 is a wasteful number, since it uses less digits than its factorization.

213223022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009015 (or 1009013 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 213223022220 its reverse (22220322312), we get a palindrome (235443344532).

The spelling of 213223022220 in words is "two hundred thirteen billion, two hundred twenty-three million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 271 390 542 780 813 1084 1355 1626 2710 3252 3523 4065 5420 7046 8130 10569 14092 16260 17615 21138 35230 42276 52845 70460 105690 211380 1008719 2017438 3026157 4034876 5043595 6052314 10087190 12104628 13113347 15130785 20174380 26226694 30261570 39340041 52453388 60523140 65566735 78680082 131133470 157360164 196700205 262266940 273362849 393400410 546725698 786800820 820088547 1093451396 1366814245 1640177094 2733628490 3280354188 3553717037 4100442735 5467256980 7107434074 8200885470 10661151111 14214868148 16401770940 17768585185 21322302222 35537170370 42644604444 53305755555 71074340740 106611511110 213223022220