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212111208 = 23327989419
BaseRepresentation
bin11001010010010…
…00111101101000
3112210010100212200
430221020331220
5413300024313
633014140200
75153626011
oct1451107550
9483110780
10212111208
11a9805321
125b051660
1334c37aba
1420256008
151394cb73
hexca48f68

212111208 has 96 divisors (see below), whose sum is σ = 589680000. Its totient is φ = 68859648.

The previous prime is 212111177. The next prime is 212111219. The reversal of 212111208 is 802111212.

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

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 23 ways as a sum of consecutive naturals, for example, 506023 + ... + 506441.

It is an arithmetic number, because the mean of its divisors is an integer number (6142500).

Almost surely, 2212111208 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 212111208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294840000).

212111208 is an abundant number, since it is smaller than the sum of its proper divisors (377568792).

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

212111208 is a wasteful number, since it uses less digits than its factorization.

212111208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 212111208 is about 14564.0381762752. The cubic root of 212111208 is about 596.3774391049.

The spelling of 212111208 in words is "two hundred twelve million, one hundred eleven thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 89 158 178 237 267 316 356 419 474 534 632 711 712 801 838 948 1068 1257 1422 1602 1676 1896 2136 2514 2844 3204 3352 3771 5028 5688 6408 7031 7542 10056 14062 15084 21093 28124 30168 33101 37291 42186 56248 63279 66202 74582 84372 99303 111873 126558 132404 149164 168744 198606 223746 253116 264808 297909 298328 335619 397212 447492 506232 595818 671238 794424 894984 1191636 1342476 2383272 2684952 2945989 5891978 8837967 11783956 17675934 23567912 26513901 35351868 53027802 70703736 106055604 212111208