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214093522224 = 2434241685459
BaseRepresentation
bin1100011101100011110…
…1111110010100110000
3202110121112201210110000
43013120331332110300
512001430420202344
6242204143110000
721316302625041
oct3073075762460
9673545653400
10214093522224
118288423702a
12355ab5a2300
131725c11423a
14a50db808c8
1558808cca69
hex31d8f7e530

214093522224 has 100 divisors (see below), whose sum is σ = 622220831320. Its totient is φ = 71068285440.

The previous prime is 214093522211. The next prime is 214093522267. The reversal of 214093522224 is 422225390412.

214093522224 is a `hidden beast` number, since 2 + 1 + 40 + 93 + 522 + 2 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30394 + ... + 655065.

Almost surely, 2214093522224 is an apocalyptic number.

214093522224 is a gapful number since it is divisible by the number (24) 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 214093522224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311110415660).

214093522224 is an abundant number, since it is smaller than the sum of its proper divisors (408127309096).

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

214093522224 is a wasteful number, since it uses less digits than its factorization.

214093522224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685720 (or 685705 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 214093522224 in words is "two hundred fourteen billion, ninety-three million, five hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 241 324 432 482 648 723 964 1296 1446 1928 2169 2892 3856 4338 5784 6507 8676 11568 13014 17352 19521 26028 34704 39042 52056 78084 104112 156168 312336 685459 1370918 2056377 2741836 4112754 5483672 6169131 8225508 10967344 12338262 16451016 18507393 24676524 32902032 37014786 49353048 55522179 74029572 98706096 111044358 148059144 165195619 222088716 296118288 330391238 444177432 495586857 660782476 888354864 991173714 1321564952 1486760571 1982347428 2643129904 2973521142 3964694856 4460281713 5947042284 7929389712 8920563426 11894084568 13380845139 17841126852 23788169136 26761690278 35682253704 53523380556 71364507408 107046761112 214093522224