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212433390 = 232513315857
BaseRepresentation
bin11001010100101…
…11100111101110
3112210201201211100
430222113213232
5413340332030
633025103530
75156440221
oct1452274756
9483651740
10212433390
11a9a05394
125b187ba6
133501b640
14202db5b8
15139b3360
hexca979ee

212433390 has 96 divisors (see below), whose sum is σ = 614105856. Its totient is φ = 50595840.

The previous prime is 212433383. The next prime is 212433407. The reversal of 212433390 is 93334212.

It is a happy number.

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 33342 + ... + 39198.

It is an arithmetic number, because the mean of its divisors is an integer number (6396936).

Almost surely, 2212433390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212433390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307052928).

212433390 is an abundant number, since it is smaller than the sum of its proper divisors (401672466).

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

212433390 is a wasteful number, since it uses less digits than its factorization.

212433390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5914 (or 5911 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 212433390 is about 14575.0948538937. The cubic root of 212433390 is about 596.6792381415.

The spelling of 212433390 in words is "two hundred twelve million, four hundred thirty-three thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 31 39 45 62 65 78 90 93 117 130 155 186 195 234 279 310 390 403 465 558 585 806 930 1170 1209 1395 2015 2418 2790 3627 4030 5857 6045 7254 11714 12090 17571 18135 29285 35142 36270 52713 58570 76141 87855 105426 152282 175710 181567 228423 263565 363134 380705 456846 527130 544701 685269 761410 907835 1089402 1142115 1370538 1634103 1815670 2284230 2360371 2723505 3268206 3426345 4720742 5447010 6852690 7081113 8170515 11801855 14162226 16341030 21243339 23603710 35405565 42486678 70811130 106216695 212433390