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12202164 = 2234132897
BaseRepresentation
bin101110100011…
…000010110100
3211221221020000
4232203002310
511110432124
61113311300
7205500552
oct56430264
924857200
1012202164
116984737
124105530
1326b3020
141898bd2
1511106c9
hexba30b4

12202164 has 60 divisors (see below), whose sum is σ = 34364484. Its totient is φ = 3753216.

The previous prime is 12202139. The next prime is 12202171. The reversal of 12202164 is 46120221.

It can be written as a sum of positive squares in 2 ways, for example, as 1587600 + 10614564 = 1260^2 + 3258^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2764 + ... + 5660.

Almost surely, 212202164 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 12202164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17182242).

12202164 is an abundant number, since it is smaller than the sum of its proper divisors (22162320).

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

12202164 is a wasteful number, since it uses less digits than its factorization.

12202164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12202164 is about 3493.1596012779. The cubic root of 12202164 is about 230.2213621822.

Adding to 12202164 its reverse (46120221), we get a palindrome (58322385).

The spelling of 12202164 in words is "twelve million, two hundred two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 2897 4212 5794 8691 11588 17382 26073 34764 37661 52146 75322 78219 104292 112983 150644 156438 225966 234657 312876 338949 451932 469314 677898 938628 1016847 1355796 2033694 3050541 4067388 6101082 12202164