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2188164 = 223113137
BaseRepresentation
bin1000010110001110000100
311010011121010
420112032010
51030010124
6114522220
724412326
oct10261604
94104533
102188164
111265000
12896370
135b7c94
1440d616
152d3529
hex216384

2188164 has 48 divisors (see below), whose sum is σ = 5656896. Its totient is φ = 658240.

The previous prime is 2188163. The next prime is 2188169. The reversal of 2188164 is 4618812.

It is not an unprimeable number, because it can be changed into a prime (2188163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15904 + ... + 16040.

It is an arithmetic number, because the mean of its divisors is an integer number (117852).

22188164 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 2188164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828448).

2188164 is an abundant number, since it is smaller than the sum of its proper divisors (3468732).

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

2188164 is a wasteful number, since it uses less digits than its factorization.

2188164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 153 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 2188164 is about 1479.2444017133. The cubic root of 2188164 is about 129.8254857550.

It can be divided in two parts, 21881 and 64, that added together give a triangular number (21945 = T209).

The spelling of 2188164 in words is "two million, one hundred eighty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 137 242 274 363 411 484 548 726 822 1331 1452 1507 1644 2662 3014 3993 4521 5324 6028 7986 9042 15972 16577 18084 33154 49731 66308 99462 182347 198924 364694 547041 729388 1094082 2188164