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212242242186 = 232131755151679
BaseRepresentation
bin1100010110101010011…
…1111001101010001010
3202021211112020000122200
43011222213321222022
511434133003222221
6241300331501030
721222363202122
oct3055247715212
9667745200580
10212242242186
1182014237a27
12351735b7776
131702570b270
14a3b5d59c82
1557c30e5426
hex316a9f9a8a

212242242186 has 48 divisors (see below), whose sum is σ = 495269698560. Its totient is φ = 65300320800.

The previous prime is 212242242181. The next prime is 212242242187. The reversal of 212242242186 is 681242242212.

212242242186 is a `hidden beast` number, since 2 + 1 + 224 + 2 + 2 + 421 + 8 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 212242242186.

It is not an unprimeable number, because it can be changed into a prime (212242242181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4081095 + ... + 4132773.

It is an arithmetic number, because the mean of its divisors is an integer number (10318118720).

Almost surely, 2212242242186 is an apocalyptic number.

212242242186 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

212242242186 is an abundant number, since it is smaller than the sum of its proper divisors (283027456374).

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

212242242186 is a wasteful number, since it uses less digits than its factorization.

212242242186 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69251 (or 69248 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

Adding to 212242242186 its reverse (681242242212), we get a palindrome (893484484398).

The spelling of 212242242186 in words is "two hundred twelve billion, two hundred forty-two million, two hundred forty-two thousand, one hundred eighty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 17551 35102 51679 52653 103358 105306 155037 157959 228163 310074 315918 456326 465111 671827 684489 930222 1343654 1368978 2015481 2053467 4030962 4106934 6046443 12092886 907018129 1814036258 2721054387 5442108774 8163163161 11791235677 16326326322 23582471354 35373707031 70747414062 106121121093 212242242186