Search a number
-
+
12217764 = 22313172271
BaseRepresentation
bin101110100110…
…110110100100
3211222201121210
4232212312210
511111432024
61113511420
7205564206
oct56466644
924881553
1012217764
116995429
124112570
1326ba160
1418a0776
151115129
hexba6da4

12217764 has 72 divisors (see below), whose sum is σ = 32733568. Its totient is φ = 3525120.

The previous prime is 12217759. The next prime is 12217769. The reversal of 12217764 is 46771221.

It is an interprime number because it is at equal distance from previous prime (12217759) and next prime (12217769).

It is not an unprimeable number, because it can be changed into a prime (12217769) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 44949 + ... + 45219.

Almost surely, 212217764 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 12217764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16366784).

12217764 is an abundant number, since it is smaller than the sum of its proper divisors (20515804).

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

12217764 is a wasteful number, since it uses less digits than its factorization.

12217764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 306 counting only the distinct ones).

The product of its digits is 4704, while the sum is 30.

The square root of 12217764 is about 3495.3918235299. The cubic root of 12217764 is about 230.3194301376.

Adding to 12217764 its reverse (46771221), we get a palindrome (58988985).

The spelling of 12217764 in words is "twelve million, two hundred seventeen thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 271 289 442 542 578 663 813 867 884 1084 1156 1326 1626 1734 2652 3252 3468 3523 3757 4607 7046 7514 9214 10569 11271 13821 14092 15028 18428 21138 22542 27642 42276 45084 55284 59891 78319 119782 156638 179673 234957 239564 313276 359346 469914 718692 939828 1018147 2036294 3054441 4072588 6108882 12217764