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212943906 = 232721997131
BaseRepresentation
bin11001011000101…
…00010000100010
3112211200200010100
430230110100202
5414003201111
633044043230
75163664500
oct1454242042
9484620110
10212943906
11aa2239aa
125b393516
1335169b16
14203d1670
1513a64756
hexcb14422

212943906 has 144 divisors (see below), whose sum is σ = 575134560. Its totient is φ = 56609280.

The previous prime is 212943883. The next prime is 212943911. The reversal of 212943906 is 609349212.

212943906 is a `hidden beast` number, since 212 + 9 + 439 + 0 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1625461 + ... + 1625591.

It is an arithmetic number, because the mean of its divisors is an integer number (3993990).

Almost surely, 2212943906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212943906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287567280).

212943906 is an abundant number, since it is smaller than the sum of its proper divisors (362190654).

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

212943906 is a wasteful number, since it uses less digits than its factorization.

212943906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 212943906 is about 14592.5976440112. The cubic root of 212943906 is about 597.1568319396.

It can be divided in two parts, 21294 and 3906, that added together give a triangular number (25200 = T224).

The spelling of 212943906 in words is "two hundred twelve million, nine hundred forty-three thousand, nine hundred six".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 97 98 114 126 131 133 147 171 194 262 266 291 294 342 393 399 441 582 679 786 798 873 882 917 931 1179 1197 1358 1746 1834 1843 1862 2037 2358 2394 2489 2751 2793 3686 4074 4753 4978 5502 5529 5586 6111 6419 7467 8253 8379 9506 11058 12222 12707 12838 12901 14259 14934 16506 16587 16758 17423 19257 22401 25414 25802 28518 33174 34846 38121 38514 38703 42777 44802 52269 57771 76242 77406 85554 88949 90307 104538 114363 115542 116109 121961 156807 177898 180614 228726 232218 241433 243922 266847 270921 313614 365883 482866 533694 541842 622643 724299 731766 800541 812763 1097649 1245286 1448598 1601082 1625526 1690031 1867929 2172897 2195298 3380062 3735858 4345794 5070093 5603787 10140186 11207574 11830217 15210279 23660434 30420558 35490651 70981302 106471953 212943906