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212312233332 = 223229571994441
BaseRepresentation
bin1100010110111011001…
…0111001010101110100
3202022000101220221110100
43011232302321111310
511434303412431312
6241311311554100
721224203131003
oct3055662712564
9668011827410
10212312233332
118204a7a2351
1235192b2b930
1317037075a44
14a3c1378c3a
1557c931d5dc
hex316ecb9574

212312233332 has 36 divisors (see below), whose sum is σ = 536859908676. Its totient is φ = 70746775680.

The previous prime is 212312233327. The next prime is 212312233361. The reversal of 212312233332 is 233332213212.

212312233332 is a `hidden beast` number, since 2 + 12 + 312 + 2 + 3 + 3 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20210602896 + 192101630436 = 142164^2 + 438294^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2123122333322 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 212312233296 and 212312233305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 890769 + ... + 1103672.

It is an arithmetic number, because the mean of its divisors is an integer number (14912775241).

Almost surely, 2212312233332 is an apocalyptic number.

It is an amenable number.

212312233332 is an abundant number, since it is smaller than the sum of its proper divisors (324547675344).

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

212312233332 is a wasteful number, since it uses less digits than its factorization.

212312233332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997408 (or 1997403 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 212312233332 its reverse (233332213212), we get a palindrome (445644446544).

The spelling of 212312233332 in words is "two hundred twelve billion, three hundred twelve million, two hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2957 5914 8871 11828 17742 26613 35484 53226 106452 1994441 3988882 5983323 7977764 11966646 17949969 23933292 35899938 71799876 5897562037 11795124074 17692686111 23590248148 35385372222 53078058333 70770744444 106156116666 212312233332