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212111064 = 233211297251
BaseRepresentation
bin11001010010010…
…00111011011000
3112210010100200100
430221020323120
5413300023224
633014135400
75153625414
oct1451107330
9483110610
10212111064
11a9805200
125b051560
1334c37a09
1420255d44
151394cac9
hexca48ed8

212111064 has 144 divisors (see below), whose sum is σ = 640490760. Its totient is φ = 63360000.

The previous prime is 212111051. The next prime is 212111071. The reversal of 212111064 is 460111212.

It is a super-2 number, since 2×2121110642 = 89982206942424192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 844939 + ... + 845189.

Almost surely, 2212111064 is an apocalyptic number.

212111064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212111064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320245380).

212111064 is an abundant number, since it is smaller than the sum of its proper divisors (428379696).

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

212111064 is a wasteful number, since it uses less digits than its factorization.

212111064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 212111064 is about 14564.0332325905. The cubic root of 212111064 is about 596.3773041468.

Adding to 212111064 its reverse (460111212), we get a palindrome (672222276).

The spelling of 212111064 in words is "two hundred twelve million, one hundred eleven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 97 99 121 132 194 198 242 251 264 291 363 388 396 484 502 582 726 753 776 792 873 968 1004 1067 1089 1164 1452 1506 1746 2008 2134 2178 2259 2328 2761 2904 3012 3201 3492 4268 4356 4518 5522 6024 6402 6984 8283 8536 8712 9036 9603 11044 11737 12804 16566 18072 19206 22088 23474 24347 24849 25608 30371 33132 35211 38412 46948 48694 49698 60742 66264 70422 73041 76824 91113 93896 97388 99396 105633 121484 140844 146082 182226 194776 198792 211266 219123 242968 267817 273339 281688 292164 364452 422532 438246 535634 546678 584328 728904 803451 845064 876492 1071268 1093356 1606902 1752984 2142536 2186712 2410353 2945987 3213804 4820706 5891974 6427608 8837961 9641412 11783948 17675922 19282824 23567896 26513883 35351844 53027766 70703688 106055532 212111064