Search a number
-
+
212242242212 = 227111353007553
BaseRepresentation
bin1100010110101010011…
…1111001101010100100
3202021211112020000200122
43011222213321222210
511434133003222322
6241300331501112
721222363202160
oct3055247715244
9667745200618
10212242242212
1182014237a50
12351735b7798
131702570b290
14a3b5d59ca0
1557c30e5442
hex316a9f9aa4

212242242212 has 48 divisors (see below), whose sum is σ = 498695068032. Its totient is φ = 76330874880.

The previous prime is 212242242187. The next prime is 212242242217.

212242242212 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (212242242217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26499773 + ... + 26507780.

It is an arithmetic number, because the mean of its divisors is an integer number (10389480584).

Almost surely, 2212242242212 is an apocalyptic number.

212242242212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212242242212 is an abundant number, since it is smaller than the sum of its proper divisors (286452825820).

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

212242242212 is a wasteful number, since it uses less digits than its factorization.

212242242212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53007588 (or 53007586 counting only the distinct ones).

The product of its digits is 4096, while the sum is 26.

It can be divided in two parts, 212242 and 242212, that added together give a palindrome (454454).

The spelling of 212242242212 in words is "two hundred twelve billion, two hundred forty-two million, two hundred forty-two thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 53007553 106015106 212030212 371052871 583083083 689098189 742105742 1166166166 1378196378 1484211484 2332332332 2756392756 4081581581 4823687323 7580080079 8163163162 9647374646 15160160158 16326326324 19294749292 30320320316 53060560553 106121121106 212242242212