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12206964 = 22371121201
BaseRepresentation
bin101110100100…
…001101110100
3211222011210210
4232210031310
511111110324
61113345420
7205520550
oct56441564
924864723
1012206964
116988300
124108270
1326b5273
14189a860
151111d29
hexba4374

12206964 has 72 divisors (see below), whose sum is σ = 35809984. Its totient is φ = 3168000.

The previous prime is 12206939. The next prime is 12206989. The reversal of 12206964 is 46960221.

12206964 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12206939) and next prime (12206989).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9564 + ... + 10764.

Almost surely, 212206964 is an apocalyptic number.

12206964 is a gapful number since it is divisible by the number (14) 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 12206964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17904992).

12206964 is an abundant number, since it is smaller than the sum of its proper divisors (23603020).

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

12206964 is a wasteful number, since it uses less digits than its factorization.

12206964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 12206964 is about 3493.8465907936. The cubic root of 12206964 is about 230.2515458357.

The spelling of 12206964 in words is "twelve million, two hundred six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 308 363 462 484 726 847 924 1201 1452 1694 2402 2541 3388 3603 4804 5082 7206 8407 10164 13211 14412 16814 25221 26422 33628 39633 50442 52844 79266 92477 100884 145321 158532 184954 277431 290642 369908 435963 554862 581284 871926 1017247 1109724 1743852 2034494 3051741 4068988 6103482 12206964