Search a number
-
+
2214305310 = 235711519161
BaseRepresentation
bin1000001111111011…
…1001111000011110
312201022121100211210
42003332321320132
514013330232220
61003420125250
7105605166420
oct20376717036
95638540753
102214305310
11a36a10398
12519696826
1329399ca39
14170122810
15ce5e56e0
hex83fb9e1e

2214305310 has 64 divisors (see below), whose sum is σ = 6079463424. Its totient is φ = 505632000.

The previous prime is 2214305297. The next prime is 2214305351. The reversal of 2214305310 is 135034122.

It is a super-2 number, since 2×22143053102 = 9806296011788392200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237130 + ... + 246290.

It is an arithmetic number, because the mean of its divisors is an integer number (94991616).

Almost surely, 22214305310 is an apocalyptic number.

2214305310 is an abundant number, since it is smaller than the sum of its proper divisors (3865158114).

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

2214305310 is a wasteful number, since it uses less digits than its factorization.

2214305310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10329.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2214305310 is about 47056.4056213392. The cubic root of 2214305310 is about 1303.4043532589.

Adding to 2214305310 its reverse (135034122), we get a palindrome (2349339432).

The spelling of 2214305310 in words is "two billion, two hundred fourteen million, three hundred five thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 1151 2302 3453 5755 6906 8057 9161 11510 16114 17265 18322 24171 27483 34530 40285 45805 48342 54966 64127 80570 91610 120855 128254 137415 192381 241710 274830 320635 384762 641270 961905 1923810 10544311 21088622 31632933 52721555 63265866 73810177 105443110 147620354 158164665 221430531 316329330 369050885 442861062 738101770 1107152655 2214305310