Search a number
-
+
2214303564 = 22311234117789
BaseRepresentation
bin1000001111111011…
…1001011101001100
312201022121021110010
42003332321131030
514013330203224
61003420113220
7105605161344
oct20376713514
95638537403
102214303564
11a36a0a050
12519695810
1329399bcc5
14170121d24
15ce5e4e29
hex83fb974c

2214303564 has 96 divisors (see below), whose sum is σ = 6025259520. Its totient is φ = 626137600.

The previous prime is 2214303551. The next prime is 2214303583. The reversal of 2214303564 is 4653034122.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115582 + ... + 133370.

It is an arithmetic number, because the mean of its divisors is an integer number (62763120).

Almost surely, 22214303564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214303564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3012629760).

2214303564 is an abundant number, since it is smaller than the sum of its proper divisors (3810955956).

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

2214303564 is a wasteful number, since it uses less digits than its factorization.

2214303564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17871 (or 17869 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2214303564 is about 47056.3870691323. The cubic root of 2214303564 is about 1303.4040106767.

Adding to 2214303564 its reverse (4653034122), we get a palindrome (6867337686).

The spelling of 2214303564 in words is "two billion, two hundred fourteen million, three hundred three thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 41 44 46 66 69 82 92 123 132 138 164 246 253 276 451 492 506 759 902 943 1012 1353 1518 1804 1886 2706 2829 3036 3772 5412 5658 10373 11316 17789 20746 31119 35578 41492 53367 62238 71156 106734 124476 195679 213468 391358 409147 587037 729349 782716 818294 1174074 1227441 1458698 1636588 2188047 2348148 2454882 2917396 4376094 4500617 4909764 8022839 8752188 9001234 13501851 16045678 16775027 18002468 24068517 27003702 32091356 33550054 48137034 50325081 54007404 67100108 96274068 100650162 184525297 201300324 369050594 553575891 738101188 1107151782 2214303564