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212262208 = 2631831289
BaseRepresentation
bin11001010011011…
…01110101000000
3112210102001000021
430221231311000
5413314342313
633021303224
75155125154
oct1451556500
9483361007
10212262208
11a98a8814
125b104b14
1334c8b752
1420295064
151397c78d
hexca6dd40

212262208 has 56 divisors (see below), whose sum is σ = 440375040. Its totient is φ = 101391360.

The previous prime is 212262203. The next prime is 212262209. The reversal of 212262208 is 802262212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212262203) 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 7 ways as a sum of consecutive naturals, for example, 164028 + ... + 165316.

It is an arithmetic number, because the mean of its divisors is an integer number (7863840).

Almost surely, 2212262208 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 212262208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220187520).

212262208 is an abundant number, since it is smaller than the sum of its proper divisors (228112832).

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

212262208 is a wasteful number, since it uses less digits than its factorization.

212262208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 212262208 is about 14569.2212557844. The cubic root of 212262208 is about 596.5189240572.

The spelling of 212262208 in words is "two hundred twelve million, two hundred sixty-two thousand, two hundred eight".

Divisors: 1 2 4 8 16 31 32 62 64 83 124 166 248 332 496 664 992 1289 1328 1984 2573 2578 2656 5146 5156 5312 10292 10312 20584 20624 39959 41168 41248 79918 82336 82496 106987 159836 164672 213974 319672 427948 639344 855896 1278688 1711792 2557376 3316597 3423584 6633194 6847168 13266388 26532776 53065552 106131104 212262208