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212250808 = 237112371211
BaseRepresentation
bin11001010011010…
…11000010111000
3112210101110101001
430221223002320
5413314011213
633021134344
75155050010
oct1451530270
9483343331
10212250808
11a98a01a0
125b0ba3b4
1334c864c3
1420290c40
15139791dd
hexca6b0b8

212250808 has 128 divisors (see below), whose sum is σ = 527523840. Its totient is φ = 77616000.

The previous prime is 212250803. The next prime is 212250811. The reversal of 212250808 is 808052212.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212250803) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1005823 + ... + 1006033.

It is an arithmetic number, because the mean of its divisors is an integer number (4121280).

Almost surely, 2212250808 is an apocalyptic number.

212250808 is a gapful number since it is divisible by the number (28) 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 212250808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263761920).

212250808 is an abundant number, since it is smaller than the sum of its proper divisors (315273032).

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

212250808 is a wasteful number, since it uses less digits than its factorization.

212250808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 212250808 is about 14568.8300147953. The cubic root of 212250808 is about 596.5082447539.

The spelling of 212250808 in words is "two hundred twelve million, two hundred fifty thousand, eight hundred eight".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 56 71 77 88 92 142 154 161 184 211 253 284 308 322 422 497 506 568 616 644 781 844 994 1012 1288 1477 1562 1633 1688 1771 1988 2024 2321 2954 3124 3266 3542 3976 4642 4853 5467 5908 6248 6532 7084 9284 9706 10934 11431 11816 13064 14168 14981 16247 17963 18568 19412 21868 22862 29962 32494 33971 35926 38824 43736 45724 53383 59924 64988 67942 71852 91448 104867 106766 119848 125741 129976 135884 143704 164791 209734 213532 251482 271768 329582 344563 373681 419468 427064 502964 659164 689126 747362 838936 1005928 1153537 1318328 1378252 1494724 2307074 2411941 2756504 2989448 3790193 4614148 4823882 7580386 9228296 9647764 15160772 19295528 26531351 30321544 53062702 106125404 212250808