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212125808 = 2431974409
BaseRepresentation
bin11001010010011…
…00100001110000
3112210011002220102
430221030201300
5413301011213
633014331532
75154016406
oct1451144160
9483132812
10212125808
11a9815294
125b059ba8
1334c4163b
142025b476
1513952158
hexca4c870

212125808 has 40 divisors (see below), whose sum is σ = 428722560. Its totient is φ = 101560320.

The previous prime is 212125799. The next prime is 212125817. The reversal of 212125808 is 808521212.

It is a happy number.

212125808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212125799) and next prime (212125817).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45908 + ... + 50316.

It is an arithmetic number, because the mean of its divisors is an integer number (10718064).

Almost surely, 2212125808 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 212125808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214361280).

212125808 is an abundant number, since it is smaller than the sum of its proper divisors (216596752).

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

212125808 is a wasteful number, since it uses less digits than its factorization.

212125808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4545 (or 4539 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 212125808 is about 14564.5394022605. The cubic root of 212125808 is about 596.3911220387.

The spelling of 212125808 in words is "two hundred twelve million, one hundred twenty-five thousand, eight hundred eight".

Divisors: 1 2 4 8 16 31 62 97 124 194 248 388 496 776 1552 3007 4409 6014 8818 12028 17636 24056 35272 48112 70544 136679 273358 427673 546716 855346 1093432 1710692 2186864 3421384 6842768 13257863 26515726 53031452 106062904 212125808