Search a number
-
+
2194100 = 225237593
BaseRepresentation
bin1000010111101010110100
311010110201222
420113222310
51030202400
6115005512
724435536
oct10275264
94113658
102194100
111269507
12899898
135ba8ac
14411856
152d5185
hex217ab4

2194100 has 36 divisors (see below), whose sum is σ = 4898124. Its totient is φ = 852480.

The previous prime is 2194069. The next prime is 2194133. The reversal of 2194100 is 14912.

It is a happy number.

2194100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 44944 + 2149156 = 212^2 + 1466^2 .

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 11 ways as a sum of consecutive naturals, for example, 3404 + ... + 3996.

It is an arithmetic number, because the mean of its divisors is an integer number (136059).

22194100 is an apocalyptic number.

2194100 is a gapful number since it is divisible by the number (20) 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 2194100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449062).

2194100 is an abundant number, since it is smaller than the sum of its proper divisors (2704024).

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

2194100 is a wasteful number, since it uses less digits than its factorization.

2194100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 2194100 is about 1481.2494725737. The cubic root of 2194100 is about 129.9427756032.

The spelling of 2194100 in words is "two million, one hundred ninety-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 593 740 925 1186 1850 2372 2965 3700 5930 11860 14825 21941 29650 43882 59300 87764 109705 219410 438820 548525 1097050 2194100