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224142000401 = 111711511041373
BaseRepresentation
bin1101000010111111100…
…1111000000100010001
3210102112211201101010102
43100233321320010101
512133020323003101
6250545220542145
722123306365554
oct3205771700421
9712484641112
10224142000401
1187070352450
1237534851955
13181a0b76207
14abc452269b
155c6cb6486b
hex342fe78111

224142000401 has 16 divisors (see below), whose sum is σ = 259127175168. Its totient is φ = 191612448000.

The previous prime is 224142000361. The next prime is 224142000473. The reversal of 224142000401 is 104000241422.

It is a cyclic number.

It is not a de Polignac number, because 224142000401 - 218 = 224141738257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (224142000491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305450 + ... + 735923.

It is an arithmetic number, because the mean of its divisors is an integer number (16195448448).

Almost surely, 2224142000401 is an apocalyptic number.

It is an amenable number.

224142000401 is a deficient number, since it is larger than the sum of its proper divisors (34985174767).

224142000401 is a wasteful number, since it uses less digits than its factorization.

224142000401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042552.

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 224142000401 its reverse (104000241422), we get a palindrome (328142241823).

The spelling of 224142000401 in words is "two hundred twenty-four billion, one hundred forty-two million, four hundred one", and thus it is an aban number.

Divisors: 1 11 17 187 1151 12661 19567 215237 1041373 11455103 17703341 194736751 1198620323 13184823553 20376545491 224142000401