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212168223232 = 29793763179
BaseRepresentation
bin1100010110011000110…
…1100010101000000000
3202021122100221110201221
43011212031202220000
511434010031120412
6241245125204424
721220504066330
oct3054615425000
9667570843657
10212168223232
1181a86481439
1235152860714
1317013293374
14a3aa1ad0c0
1557bb873b07
hex3166362a00

212168223232 has 80 divisors (see below), whose sum is σ = 485007082560. Its totient is φ = 90830757888.

The previous prime is 212168223227. The next prime is 212168223247. The reversal of 212168223232 is 232322861212.

It is a super-3 number, since 3×2121682232323 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3326619 + ... + 3389797.

It is an arithmetic number, because the mean of its divisors is an integer number (6062588532).

Almost surely, 2212168223232 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 212168223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242503541280).

212168223232 is an abundant number, since it is smaller than the sum of its proper divisors (272838859328).

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

212168223232 is an frugal number, since it uses more digits than its factorization.

212168223232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64141 (or 64125 counting only the distinct ones).

The product of its digits is 27648, while the sum is 34.

The spelling of 212168223232 in words is "two hundred twelve billion, one hundred sixty-eight million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 937 1792 1874 3584 3748 6559 7496 13118 14992 26236 29984 52472 59968 63179 104944 119936 126358 209888 239872 252716 419776 442253 479744 505432 839552 884506 1010864 1679104 1769012 2021728 3358208 3538024 4043456 7076048 8086912 14152096 16173824 28304192 32347648 56608384 59198723 113216768 118397446 226433536 236794892 414391061 473589784 828782122 947179568 1657564244 1894359136 3315128488 3788718272 6630256976 7577436544 13260513952 15154873088 26521027904 30309746176 53042055808 106084111616 212168223232