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BaseRepresentation
bin100100100100010010000
32020212122200
410210202100
5301320344
641403200
713120236
oct4444220
92225580
101198224
11749275
12499500
1332c511
14232956
1518a069
hex124890

1198224 has 60 divisors (see below), whose sum is σ = 3438396. Its totient is φ = 389376.

The previous prime is 1198217. The next prime is 1198229. The reversal of 1198224 is 4228911.

It can be written as a sum of positive squares in 2 ways, for example, as 608400 + 589824 = 780^2 + 768^2 .

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

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (1198229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7554 + ... + 7710.

21198224 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 1198224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719198).

1198224 is an abundant number, since it is smaller than the sum of its proper divisors (2240172).

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

1198224 is a wasteful number, since it uses less digits than its factorization.

With its successor (1198225) it forms an eRAP, since the sums of their prime factors are consecutive (224 and 225).

1198224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 215 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 1198224 is about 1094.6341854702. The cubic root of 1198224 is about 106.2134065448.

The spelling of 1198224 in words is "one million, one hundred ninety-eight thousand, two hundred twenty-four".