[go: up one dir, main page]

Search a number
-
+
2194400 = 255213211
BaseRepresentation
bin1000010111101111100000
311010111011002
420113233200
51030210100
6115011132
724436445
oct10275740
94114132
102194400
11126975a
12899aa8
135baa80
144119cc
152d52d5
hex217be0

2194400 has 72 divisors (see below), whose sum is σ = 5796504. Its totient is φ = 806400.

The previous prime is 2194391. The next prime is 2194403. The reversal of 2194400 is 44912.

2194400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2194403) by changing a digit.

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, 10295 + ... + 10505.

It is an arithmetic number, because the mean of its divisors is an integer number (80507).

22194400 is an apocalyptic number.

2194400 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 2194400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2898252).

2194400 is an abundant number, since it is smaller than the sum of its proper divisors (3602104).

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

2194400 is a wasteful number, since it uses less digits than its factorization.

2194400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 2194400 is about 1481.3507349713. The cubic root of 2194400 is about 129.9486977058.

The spelling of 2194400 in words is "two million, one hundred ninety-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 200 208 211 260 325 400 416 422 520 650 800 844 1040 1055 1300 1688 2080 2110 2600 2743 3376 4220 5200 5275 5486 6752 8440 10400 10550 10972 13715 16880 21100 21944 27430 33760 42200 43888 54860 68575 84400 87776 109720 137150 168800 219440 274300 438880 548600 1097200 2194400