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216889530 = 235111323889
BaseRepresentation
bin11001110110101…
…11100010111010
3120010010010111120
430323113202322
5421010431110
633304410110
75242346664
oct1473274272
9503103446
10216889530
11101479350
1260776936
1335c1ba00
1420b3b534
1514093870
hexced78ba

216889530 has 96 divisors (see below), whose sum is σ = 615055680. Its totient is φ = 48522240.

The previous prime is 216889513. The next prime is 216889531. The reversal of 216889530 is 35988612.

It is not an unprimeable number, because it can be changed into a prime (216889531) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 53826 + ... + 57714.

It is an arithmetic number, because the mean of its divisors is an integer number (6406830).

Almost surely, 2216889530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216889530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307527840).

216889530 is an abundant number, since it is smaller than the sum of its proper divisors (398166150).

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

216889530 is a wasteful number, since it uses less digits than its factorization.

216889530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3936 (or 3923 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 216889530 is about 14727.1697892025. The cubic root of 216889530 is about 600.8225108335.

The spelling of 216889530 in words is "two hundred sixteen million, eight hundred eighty-nine thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 169 195 286 330 338 390 429 507 715 845 858 1014 1430 1690 1859 2145 2535 3718 3889 4290 5070 5577 7778 9295 11154 11667 18590 19445 23334 27885 38890 42779 50557 55770 58335 85558 101114 116670 128337 151671 213895 252785 256674 303342 427790 505570 556127 641685 657241 758355 1112254 1283370 1314482 1516710 1668381 1971723 2780635 3286205 3336762 3943446 5561270 6572410 7229651 8341905 9858615 14459302 16683810 19717230 21688953 36148255 43377906 72296510 108444765 216889530