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2244200 = 235272229
BaseRepresentation
bin1000100011111001101000
311020000110112
420203321220
51033303300
6120033452
725034600
oct10437150
94200415
102244200
1112a3112
12902888
1360763a
14425c00
152e4e35
hex223e68

2244200 has 72 divisors (see below), whose sum is σ = 6096150. Its totient is φ = 766080.

The previous prime is 2244199. The next prime is 2244211. The reversal of 2244200 is 24422.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2079364 + 164836 = 1442^2 + 406^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9686 + ... + 9914.

22244200 is an apocalyptic number.

2244200 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 2244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048075).

2244200 is an abundant number, since it is smaller than the sum of its proper divisors (3851950).

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

2244200 is a wasteful number, since it uses less digits than its factorization.

2244200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 2244200 is about 1498.0654191323. The cubic root of 2244200 is about 130.9243780081.

Adding to 2244200 its reverse (24422), we get a palindrome (2268622).

The spelling of 2244200 in words is "two million, two hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 229 245 280 350 392 458 490 700 916 980 1145 1225 1400 1603 1832 1960 2290 2450 3206 4580 4900 5725 6412 8015 9160 9800 11221 11450 12824 16030 22442 22900 32060 40075 44884 45800 56105 64120 80150 89768 112210 160300 224420 280525 320600 448840 561050 1122100 2244200