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213398717224 = 237112970117041
BaseRepresentation
bin1100011010111110001…
…1100000001100101000
3202101211010100001011111
43012233203200030220
511444020032422344
6242011203040104
721263135111350
oct3065743401450
9671733301144
10213398717224
1182558015820
1235436970034
131717b1a3614
14a485799b60
15583e8d4834
hex31af8e0328

213398717224 has 128 divisors (see below), whose sum is σ = 516822508800. Its totient is φ = 80156160000.

The previous prime is 213398717209. The next prime is 213398717239. The reversal of 213398717224 is 422717893312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (213398717209) and next prime (213398717239).

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 31 ways as a sum of consecutive naturals, for example, 12514144 + ... + 12531184.

It is an arithmetic number, because the mean of its divisors is an integer number (4037675850).

Almost surely, 2213398717224 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 213398717224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258411254400).

213398717224 is an abundant number, since it is smaller than the sum of its proper divisors (303423791576).

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

213398717224 is a wasteful number, since it uses less digits than its factorization.

213398717224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17795 (or 17791 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 49.

The spelling of 213398717224 in words is "two hundred thirteen billion, three hundred ninety-eight million, seven hundred seventeen thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 29 44 56 58 77 88 116 154 203 232 308 319 406 616 638 701 812 1276 1402 1624 2233 2552 2804 4466 4907 5608 7711 8932 9814 15422 17041 17864 19628 20329 30844 34082 39256 40658 53977 61688 68164 81316 107954 119287 136328 142303 162632 187451 215908 223619 238574 284606 374902 431816 447238 477148 494189 569212 749804 894476 954296 988378 1138424 1312157 1499608 1565333 1788952 1976756 2624314 3130666 3459323 3953512 5248628 5436079 6261332 6918646 10497256 10872158 11945741 12522664 13837292 21744316 23891482 27674584 38052553 43488632 47782964 76105106 83620187 95565928 131403151 152210212 167240374 262806302 304420424 334480748 346426489 525612604 668961496 692852978 919822057 1051225208 1385705956 1839644114 2424985423 2771411912 3679288228 3810691379 4849970846 7358576456 7621382758 9699941692 15242765516 19399883384 26674839653 30485531032 53349679306 106699358612 213398717224