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2194016 = 251123271
BaseRepresentation
bin1000010111101001100000
311010110121212
420113221200
51030202031
6115005252
724435356
oct10275140
94113555
102194016
111269440
12899828
135ba846
144117d6
152d512b
hex217a60

2194016 has 48 divisors (see below), whose sum is σ = 4935168. Its totient is φ = 950400.

The previous prime is 2194013. The next prime is 2194019. The reversal of 2194016 is 6104912.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2194013) and next prime (2194019).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 2193982 and 2194000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2194013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7961 + ... + 8231.

It is an arithmetic number, because the mean of its divisors is an integer number (102816).

22194016 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 2194016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467584).

2194016 is an abundant number, since it is smaller than the sum of its proper divisors (2741152).

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

2194016 is a wasteful number, since it uses less digits than its factorization.

2194016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 2194016 is about 1481.2211178619. The cubic root of 2194016 is about 129.9411173177.

Adding to 2194016 its reverse (6104912), we get a palindrome (8298928).

The spelling of 2194016 in words is "two million, one hundred ninety-four thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 271 352 368 506 542 736 1012 1084 2024 2168 2981 4048 4336 5962 6233 8096 8672 11924 12466 23848 24932 47696 49864 68563 95392 99728 137126 199456 274252 548504 1097008 2194016