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224077 = 7217269
BaseRepresentation
bin110110101101001101
3102101101011
4312231031
524132302
64445221
71622200
oct665515
9371334
10224077
11143397
12a9811
137acb9
145b937
15465d7
hex36b4d

224077 has 12 divisors (see below), whose sum is σ = 277020. Its totient is φ = 180096.

The previous prime is 224071. The next prime is 224101. The reversal of 224077 is 770422.

It can be written as a sum of positive squares in 2 ways, for example, as 86436 + 137641 = 294^2 + 371^2 .

It is not a de Polignac number, because 224077 - 23 = 224069 is a prime.

It is an Ulam number.

It is a Duffinian number.

224077 is a lucky number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224071) 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, 699 + ... + 967.

It is an arithmetic number, because the mean of its divisors is an integer number (23085).

2224077 is an apocalyptic number.

It is an amenable number.

224077 is a deficient number, since it is larger than the sum of its proper divisors (52943).

224077 is a wasteful number, since it uses less digits than its factorization.

224077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 224077 is about 473.3677217555. The cubic root of 224077 is about 60.7387374900.

Adding to 224077 its reverse (770422), we get a palindrome (994499).

The spelling of 224077 in words is "two hundred twenty-four thousand, seventy-seven", and thus it is an iban number.

Divisors: 1 7 17 49 119 269 833 1883 4573 13181 32011 224077