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212232232212 = 2237111337477523
BaseRepresentation
bin1100010110101000000…
…1101101110100010100
3202021210211101110112220
43011222001231310110
511434122422412322
6241255333142340
721222212131410
oct3055201556424
9667724343486
10212232232212
1182009620320
123517018a9b0
1317023614cc0
14a3b48b1d40
1557c22b955c
hex316a06dd14

212232232212 has 192 divisors, whose sum is σ = 682866960384. Its totient is φ = 49509480960.

The previous prime is 212232232169. The next prime is 212232232241.

212232232212 is nontrivially palindromic in base 10.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 205683 + ... + 683205.

It is an arithmetic number, because the mean of its divisors is an integer number (3556598752).

Almost surely, 2212232232212 is an apocalyptic number.

212232232212 is a gapful number since it is divisible by the number (22) 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 212232232212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341433480192).

212232232212 is an abundant number, since it is smaller than the sum of its proper divisors (470634728172).

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

212232232212 is a wasteful number, since it uses less digits than its factorization.

212232232212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477598 (or 477596 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

It can be divided in two parts, 212232 and 232212, that added together give a palindrome (444444).

The spelling of 212232232212 in words is "two hundred twelve billion, two hundred thirty-two million, two hundred thirty-two thousand, two hundred twelve".