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2224144 = 241317237
BaseRepresentation
bin1000011111000000010000
311011222221201
420133000100
51032133034
6115400544
724622246
oct10370020
94158851
102224144
11128a03a
128b3154
135cb480
1441c796
152de014
hex21f010

2224144 has 60 divisors (see below), whose sum is σ = 5063044. Its totient is φ = 940032.

The previous prime is 2224141. The next prime is 2224147. The reversal of 2224144 is 4414222.

It is an interprime number because it is at equal distance from previous prime (2224141) and next prime (2224147).

It can be written as a sum of positive squares in 6 ways, for example, as 230400 + 1993744 = 480^2 + 1412^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2224141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60094 + ... + 60130.

22224144 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 2224144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531522).

2224144 is an abundant number, since it is smaller than the sum of its proper divisors (2838900).

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

2224144 is a wasteful number, since it uses less digits than its factorization.

2224144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 69 counting only the distinct ones).

The product of its digits is 512, while the sum is 19.

The square root of 2224144 is about 1491.3564295634. The cubic root of 2224144 is about 130.5331947285.

Adding to 2224144 its reverse (4414222), we get a palindrome (6638366).

The spelling of 2224144 in words is "two million, two hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 17 26 34 37 52 68 74 104 136 148 208 221 272 289 296 442 481 578 592 629 884 962 1156 1258 1768 1924 2312 2516 3536 3757 3848 4624 5032 7514 7696 8177 10064 10693 15028 16354 21386 30056 32708 42772 60112 65416 85544 130832 139009 171088 278018 556036 1112072 2224144