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212232331332 = 223372165724203
BaseRepresentation
bin1100010110101000001…
…0000110000001000100
3202021210211120111112000
43011222002012001010
511434122434100312
6241255335225300
721222213023400
oct3055202060104
9667724514460
10212232331332
118200968883a
1235170218230
131702364b158
14a3b48da100
1557c22d8adc
hex316a086044

212232331332 has 144 divisors (see below), whose sum is σ = 640478502720. Its totient is φ = 60598710144.

The previous prime is 212232331331. The next prime is 212232331349. The reversal of 212232331332 is 233133232212.

212232331332 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 323 + 3 + 1 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 = 212232331296 and 212232331305.

It is not an unprimeable number, because it can be changed into a prime (212232331331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8756743 + ... + 8780945.

It is an arithmetic number, because the mean of its divisors is an integer number (4447767380).

Almost surely, 2212232331332 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 212232331332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320239251360).

212232331332 is an abundant number, since it is smaller than the sum of its proper divisors (428246171388).

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

212232331332 is a wasteful number, since it uses less digits than its factorization.

212232331332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25887 (or 25872 counting only the distinct ones).

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

Adding to 212232331332 its reverse (233133232212), we get a palindrome (445365563544).

The spelling of 212232331332 in words is "two hundred twelve billion, two hundred thirty-two million, three hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1657 1764 2646 3314 4971 5292 6628 9942 11599 14913 19884 23198 24203 29826 34797 44739 46396 48406 59652 69594 72609 81193 89478 96812 104391 139188 145218 162386 169421 178956 208782 217827 243579 290436 313173 324772 338842 417564 435654 487158 508263 626346 653481 677684 730737 871308 974316 1016526 1185947 1252692 1306962 1461474 1524789 2033052 2192211 2371894 2613924 2922948 3049578 3557841 4384422 4574367 4743788 6099156 7115682 8768844 9148734 10673523 14231364 18297468 21347046 32020569 40104371 42694092 64041138 80208742 120313113 128082276 160417484 240626226 280730597 360939339 481252452 561461194 721878678 842191791 1082818017 1122922388 1443757356 1684383582 1965114179 2165636034 2526575373 3368767164 3930228358 4331272068 5053150746 5895342537 7579726119 7860456716 10106301492 11790685074 15159452238 17686027611 23581370148 30318904476 35372055222 53058082833 70744110444 106116165666 212232331332