Search a number
-
+
30216180 = 22354171173
BaseRepresentation
bin111001101000…
…0111111110100
32002212010210210
41303100333310
530213404210
62555345420
7514555551
oct163207764
962763723
1030216180
1116068955
12a152270
13634c4c7
144027a28
1529bce20
hex1cd0ff4

30216180 has 96 divisors (see below), whose sum is σ = 88397568. Its totient is φ = 7705600.

The previous prime is 30216169. The next prime is 30216187. The reversal of 30216180 is 8161203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30216187) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174574 + ... + 174746.

It is an arithmetic number, because the mean of its divisors is an integer number (920808).

Almost surely, 230216180 is an apocalyptic number.

30216180 is a gapful number since it is divisible by the number (30) 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 30216180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44198784).

30216180 is an abundant number, since it is smaller than the sum of its proper divisors (58181388).

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

30216180 is a wasteful number, since it uses less digits than its factorization.

30216180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 30216180 is about 5496.9245947166. The cubic root of 30216180 is about 311.4678222359.

Adding to 30216180 its reverse (8161203), we get a palindrome (38377383).

The spelling of 30216180 in words is "thirty million, two hundred sixteen thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 71 82 123 142 164 173 205 213 246 284 346 355 410 426 492 519 615 692 710 820 852 865 1038 1065 1230 1420 1730 2076 2130 2460 2595 2911 3460 4260 5190 5822 7093 8733 10380 11644 12283 14186 14555 17466 21279 24566 28372 29110 34932 35465 36849 42558 43665 49132 58220 61415 70930 73698 85116 87330 106395 122830 141860 147396 174660 184245 212790 245660 368490 425580 503603 736980 1007206 1510809 2014412 2518015 3021618 5036030 6043236 7554045 10072060 15108090 30216180