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1122448 = 2431273
BaseRepresentation
bin100010010000010010000
32010000201011
410102002100
5241404243
640020304
712353305
oct4220220
92100634
101122448
116a7348
12461694
13303b92
142130ac
1517289d
hex112090

1122448 has 30 divisors (see below), whose sum is σ = 2277942. Its totient is φ = 535680.

The previous prime is 1122437. The next prime is 1122449. The reversal of 1122448 is 8442211.

It can be written as a sum of positive squares in only one way, i.e., 984064 + 138384 = 992^2 + 372^2 .

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

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (1122449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15340 + ... + 15412.

21122448 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 1122448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138971).

1122448 is an abundant number, since it is smaller than the sum of its proper divisors (1155494).

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

1122448 is an equidigital number, since it uses as much as digits as its factorization.

1122448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 106 counting only the distinct ones).

The product of its digits is 512, while the sum is 22.

The square root of 1122448 is about 1059.4564644194. The cubic root of 1122448 is about 103.9254890356.

Adding to 1122448 its reverse (8442211), we get a palindrome (9564659).

The spelling of 1122448 in words is "one million, one hundred twenty-two thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 31 62 73 124 146 248 292 496 584 961 1168 1922 2263 3844 4526 7688 9052 15376 18104 36208 70153 140306 280612 561224 1122448