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2194128 = 24341693
BaseRepresentation
bin1000010111101011010000
311010110210000
420113223100
51030203003
6115010000
724435606
oct10275320
94113700
102194128
111269532
12899900
135ba901
14411876
152d51a3
hex217ad0

2194128 has 50 divisors (see below), whose sum is σ = 6354194. Its totient is φ = 730944.

The previous prime is 2194069. The next prime is 2194133. The reversal of 2194128 is 8214912.

It can be written as a sum of positive squares in only one way, i.e., 1774224 + 419904 = 1332^2 + 648^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 450 + ... + 2142.

22194128 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 2194128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177097).

2194128 is an abundant number, since it is smaller than the sum of its proper divisors (4160066).

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

2194128 is a wasteful number, since it uses less digits than its factorization.

2194128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1698 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 2194128 is about 1481.2589240238. The cubic root of 2194128 is about 129.9433283556.

It can be divided in two parts, 21 and 94128, that added together give a palindrome (94149).

The spelling of 2194128 in words is "two million, one hundred ninety-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1693 3386 5079 6772 10158 13544 15237 20316 27088 30474 40632 45711 60948 81264 91422 121896 137133 182844 243792 274266 365688 548532 731376 1097064 2194128