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22224134400001 = 291795577686323
BaseRepresentation
bin1010000110110011101011…
…01000101110100000000001
32220200121101010201120221221
411003121311220232200001
510403110011401300001
6115133343145115041
74452432524342122
oct503316550564001
986617333646857
1022224134400001
117099225539a46
1225ab229788a81
13c5295ac5ca21
1456b922212049
15288179ec61a1
hex143675a2e801

22224134400001 has 16 divisors (see below), whose sum is σ = 23160431476800. Its totient is φ = 21299597639488.

The previous prime is 22224134399981. The next prime is 22224134400011. The reversal of 22224134400001 is 10000443142222.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22224134400001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22224134400011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 951775 + ... + 6734548.

It is an arithmetic number, because the mean of its divisors is an integer number (1447526967300).

Almost surely, 222224134400001 is an apocalyptic number.

It is an amenable number.

22224134400001 is a deficient number, since it is larger than the sum of its proper divisors (936297076799).

22224134400001 is a wasteful number, since it uses less digits than its factorization.

22224134400001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7687088.

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 22224134400001 its reverse (10000443142222), we get a palindrome (32224577542223).

The spelling of 22224134400001 in words is "twenty-two trillion, two hundred twenty-four billion, one hundred thirty-four million, four hundred thousand, one".

Divisors: 1 29 179 557 5191 16153 99703 2891387 7686323 222903367 1375851817 4281281911 39899702693 124157175419 766349462069 22224134400001