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10212667224 = 2334712917013
BaseRepresentation
bin10011000001011100…
…01110111101011000
3222100201221020201020
421200232032331120
5131403420322344
64405220522440
7511036145004
oct114056167530
928321836636
1010212667224
11437086a051
121b90250420
13c69a8b376
146cc4c1704
153eb8ba719
hex260b8ef58

10212667224 has 64 divisors (see below), whose sum is σ = 26098813440. Its totient is φ = 3328736640.

The previous prime is 10212667211. The next prime is 10212667243. The reversal of 10212667224 is 42276621201.

10212667224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1452742 + ... + 1459754.

It is an arithmetic number, because the mean of its divisors is an integer number (407793960).

Almost surely, 210212667224 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 10212667224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13049406720).

10212667224 is an abundant number, since it is smaller than the sum of its proper divisors (15886146216).

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

10212667224 is a wasteful number, since it uses less digits than its factorization.

10212667224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8360 (or 8356 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 10212667224 in words is "ten billion, two hundred twelve million, six hundred sixty-seven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 1291 2582 3873 5164 7013 7746 10328 14026 15492 21039 28052 30984 42078 56104 60677 84156 121354 168312 182031 242708 329611 364062 485416 659222 728124 988833 1318444 1456248 1977666 2636888 3955332 7910664 9053783 18107566 27161349 36215132 54322698 72430264 108645396 217290792 425527801 851055602 1276583403 1702111204 2553166806 3404222408 5106333612 10212667224