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216628830 = 23451141593
BaseRepresentation
bin11001110100101…
…11111001011110
3120002121212220000
430322113321132
5420424110310
633255035130
75240212635
oct1472277136
9502555800
10216628830
111013104a0
126066baa6
1335b5a152
1420ab051c
15140414c0
hexce97e5e

216628830 has 160 divisors (see below), whose sum is σ = 652040928. Its totient is φ = 51148800.

The previous prime is 216628829. The next prime is 216628849. The reversal of 216628830 is 38826612.

216628830 is a `hidden beast` number, since 21 + 6 + 628 + 8 + 3 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 365014 + ... + 365606.

Almost surely, 2216628830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216628830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326020464).

216628830 is an abundant number, since it is smaller than the sum of its proper divisors (435412098).

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

216628830 is a wasteful number, since it uses less digits than its factorization.

216628830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 216628830 is about 14718.3161401024. The cubic root of 216628830 is about 600.5816858870.

The spelling of 216628830 in words is "two hundred sixteen million, six hundred twenty-eight thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 41 45 54 55 66 81 82 90 99 110 123 135 162 165 198 205 246 270 297 330 369 405 410 451 495 593 594 615 738 810 891 902 990 1107 1186 1230 1353 1485 1779 1782 1845 2214 2255 2706 2965 2970 3321 3558 3690 4059 4455 4510 5337 5535 5930 6523 6642 6765 8118 8895 8910 10674 11070 12177 13046 13530 16011 16605 17790 19569 20295 24313 24354 26685 32022 32615 33210 36531 39138 40590 48033 48626 53370 58707 60885 65230 72939 73062 80055 96066 97845 117414 121565 121770 145878 160110 176121 182655 195690 218817 240165 243130 267443 293535 352242 364695 365310 437634 480330 528363 534886 587070 656451 729390 802329 880605 1056726 1094085 1312902 1337215 1604658 1761210 1969353 2188170 2406987 2641815 2674430 3282255 3938706 4011645 4813974 5283630 6564510 7220961 8023290 9846765 12034935 14441922 19693530 21662883 24069870 36104805 43325766 72209610 108314415 216628830