Search a number
-
+
215312130 = 232511792753
BaseRepresentation
bin11001101010101…
…10011100000010
3120000010222201100
430311112130002
5420104442010
633210515230
75223060105
oct1465263402
9500128640
10215312130
111005a1210
1260135b16
13357b8a37
142084a73c
1513d812c0
hexcd56702

215312130 has 96 divisors (see below), whose sum is σ = 618658560. Its totient is φ = 51517440.

The previous prime is 215312087. The next prime is 215312159. The reversal of 215312130 is 31213512.

215312130 is a `hidden beast` number, since 2 + 1 + 531 + 2 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76834 + ... + 79586.

It is an arithmetic number, because the mean of its divisors is an integer number (6444360).

Almost surely, 2215312130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215312130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309329280).

215312130 is an abundant number, since it is smaller than the sum of its proper divisors (403346430).

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

215312130 is a wasteful number, since it uses less digits than its factorization.

215312130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 215312130 is about 14673.5179830878. The cubic root of 215312130 is about 599.3624060299.

Adding to 215312130 its reverse (31213512), we get a palindrome (246525642).

The spelling of 215312130 in words is "two hundred fifteen million, three hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 79 90 99 110 158 165 198 237 330 395 474 495 711 790 869 990 1185 1422 1738 2370 2607 2753 3555 4345 5214 5506 7110 7821 8259 8690 13035 13765 15642 16518 24777 26070 27530 30283 39105 41295 49554 60566 78210 82590 90849 123885 151415 181698 217487 247770 272547 302830 434974 454245 545094 652461 908490 1087435 1304922 1362735 1957383 2174870 2392357 2725470 3262305 3914766 4784714 6524610 7177071 9786915 11961785 14354142 19573830 21531213 23923570 35885355 43062426 71770710 107656065 215312130