Search a number
-
+
212213001224 = 237210110874931
BaseRepresentation
bin1100010110100011100…
…0010110110000001000
3202021202111012102121002
43011220320112300020
511434103012014344
6241253405034132
721221556514400
oct3055070266010
9667674172532
10212213001224
1181aa9785844
1235165855948
131701c640913
14a3b2107800
1557c076b44e
hex3168e16c08

212213001224 has 96 divisors (see below), whose sum is σ = 467970255360. Its totient is φ = 89946864000.

The previous prime is 212213001181. The next prime is 212213001263. The reversal of 212213001224 is 422100312212.

It is a junction number, because it is equal to n+sod(n) for n = 212213001196 and 212213001205.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43034039 + ... + 43038969.

It is an arithmetic number, because the mean of its divisors is an integer number (4874690160).

Almost surely, 2212213001224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212213001224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233985127680).

212213001224 is an abundant number, since it is smaller than the sum of its proper divisors (255757254136).

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

212213001224 is a wasteful number, since it uses less digits than its factorization.

212213001224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6139 (or 6128 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 212213001224 its reverse (422100312212), we get a palindrome (634313313436).

The spelling of 212213001224 in words is "two hundred twelve billion, two hundred thirteen million, one thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 101 196 202 392 404 707 808 1087 1414 2174 2828 4348 4931 4949 5656 7609 8696 9862 9898 15218 19724 19796 30436 34517 39448 39592 53263 60872 69034 106526 109787 138068 213052 219574 241619 276136 426104 439148 483238 498031 768509 878296 966476 996062 1537018 1932952 1992124 3074036 3486217 3984248 5359997 5379563 6148072 6972434 10719994 10759126 13944868 21439988 21518252 24403519 27889736 37519979 42879976 43036504 48807038 75039958 97614076 150079916 195228152 262639853 300159832 525279706 541359697 1050559412 1082719394 2101118824 2165438788 3789517879 4330877576 7579035758 15158071516 26526625153 30316143032 53053250306 106106500612 212213001224