Search a number
-
+
212022020 = 2257331997
BaseRepresentation
bin11001010001100…
…11001100000100
3112202221211112102
430220303030010
5413234201040
633012211232
75153105000
oct1450631404
9482854472
10212022020
11a9754311
125b009b18
1334c06322
1420231700
1513931515
hexca33304

212022020 has 96 divisors (see below), whose sum is σ = 536524800. Its totient is φ = 70277760.

The previous prime is 212021993. The next prime is 212022023. The reversal of 212022020 is 20220212.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 212021992 and 212022010.

It is not an unprimeable number, because it can be changed into a prime (212022023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212162 + ... + 213158.

It is an arithmetic number, because the mean of its divisors is an integer number (5588800).

Almost surely, 2212022020 is an apocalyptic number.

212022020 is a gapful number since it is divisible by the number (20) 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 212022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268262400).

212022020 is an abundant number, since it is smaller than the sum of its proper divisors (324502780).

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

212022020 is a wasteful number, since it uses less digits than its factorization.

212022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 212022020 is about 14560.9759288311. The cubic root of 212022020 is about 596.2938396127.

Adding to 212022020 its reverse (20220212), we get a palindrome (232242232).

The spelling of 212022020 in words is "two hundred twelve million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 49 62 70 98 124 140 155 196 217 245 310 343 434 490 620 686 868 980 997 1085 1372 1519 1715 1994 2170 3038 3430 3988 4340 4985 6076 6860 6979 7595 9970 10633 13958 15190 19940 21266 27916 30380 30907 34895 42532 48853 53165 61814 69790 97706 106330 123628 139580 154535 195412 212660 216349 244265 309070 341971 432698 488530 618140 683942 865396 977060 1081745 1367884 1514443 1709855 2163490 3028886 3419710 4326980 6057772 6839420 7572215 10601101 15144430 21202202 30288860 42404404 53005505 106011010 212022020