Search a number
-
+
216188730 = 233523311123
BaseRepresentation
bin11001110001011…
…00011100111010
3120001210112012000
430320230130322
5420321014410
633241401430
75233400562
oct1470543472
9501715160
10216188730
1110103a87a
1260499276
1335a34a34
14209d7da2
1513ea5dc0
hexce2c73a

216188730 has 128 divisors (see below), whose sum is σ = 621527040. Its totient is φ = 53317440.

The previous prime is 216188729. The next prime is 216188737. The reversal of 216188730 is 37881612.

216188730 is a `hidden beast` number, since 2 + 1 + 618 + 8 + 7 + 30 = 666.

It is not an unprimeable number, because it can be changed into a prime (216188737) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 191949 + ... + 193071.

It is an arithmetic number, because the mean of its divisors is an integer number (4855680).

Almost surely, 2216188730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216188730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310763520).

216188730 is an abundant number, since it is smaller than the sum of its proper divisors (405338310).

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

216188730 is a wasteful number, since it uses less digits than its factorization.

216188730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 216188730 is about 14703.3577797726. The cubic root of 216188730 is about 600.1746991288.

The spelling of 216188730 in words is "two hundred sixteen million, one hundred eighty-eight thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 31 45 46 54 62 69 90 93 115 135 138 155 186 207 230 270 279 310 345 414 465 558 621 690 713 837 930 1035 1123 1242 1395 1426 1674 2070 2139 2246 2790 3105 3369 3565 4185 4278 5615 6210 6417 6738 7130 8370 10107 10695 11230 12834 16845 19251 20214 21390 25829 30321 32085 33690 34813 38502 50535 51658 60642 64170 69626 77487 96255 101070 104439 129145 151605 154974 174065 192510 208878 232461 258290 303210 313317 348130 387435 464922 522195 626634 697383 774870 800699 939951 1044390 1162305 1394766 1566585 1601398 1879902 2324610 2402097 3133170 3486915 4003495 4699755 4804194 6973830 7206291 8006990 9399510 12010485 14412582 21618873 24020970 36031455 43237746 72062910 108094365 216188730