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224020242 = 236153649
BaseRepresentation
bin11010101101001…
…00011100010010
3120121112102000000
431112210130102
5424322121432
634121310430
75360066145
oct1526443422
9517472000
10224020242
111054a97a6
1263035416
1337547574
1421a7605c
1514a0157c
hexd5a4712

224020242 has 28 divisors (see below), whose sum is σ = 503818350. Its totient is φ = 74672928.

The previous prime is 224020217. The next prime is 224020249. The reversal of 224020242 is 242020422.

224020242 is a `hidden beast` number, since 22 + 402 + 0 + 242 = 666.

It can be written as a sum of positive squares in only one way, i.e., 184443561 + 39576681 = 13581^2 + 6291^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (224020249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 75367 + ... + 78282.

Almost surely, 2224020242 is an apocalyptic number.

224020242 is an abundant number, since it is smaller than the sum of its proper divisors (279798108).

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

224020242 is an equidigital number, since it uses as much as digits as its factorization.

224020242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153669 (or 153654 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 224020242 is about 14967.3057695766. The cubic root of 224020242 is about 607.3360874652.

Adding to 224020242 its reverse (242020422), we get a palindrome (466040664).

The spelling of 224020242 in words is "two hundred twenty-four million, twenty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 153649 307298 460947 921894 1382841 2765682 4148523 8297046 12445569 24891138 37336707 74673414 112010121 224020242