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224144432401 is a prime number
BaseRepresentation
bin1101000011000000001…
…1001001110100010001
3210102120000021221012111
43100300003021310101
512133021433314101
6250545345025321
722123336145131
oct3206003116421
9712500257174
10224144432401
118707176366a
1237535625241
13181a1518176
14abc4996ac1
155c6ce95251
hex34300c9d11

224144432401 has 2 divisors, whose sum is σ = 224144432402. Its totient is φ = 224144432400.

The previous prime is 224144432399. The next prime is 224144432437. The reversal of 224144432401 is 104234441422.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 203364921600 + 20779510801 = 450960^2 + 144151^2 .

It is a cyclic number.

It is not a de Polignac number, because 224144432401 - 21 = 224144432399 is a prime.

Together with 224144432399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (224144432471) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112072216200 + 112072216201.

It is an arithmetic number, because the mean of its divisors is an integer number (112072216201).

Almost surely, 2224144432401 is an apocalyptic number.

It is an amenable number.

224144432401 is a deficient number, since it is larger than the sum of its proper divisors (1).

224144432401 is an equidigital number, since it uses as much as digits as its factorization.

224144432401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 224144432401 its reverse (104234441422), we get a palindrome (328378873823).

The spelling of 224144432401 in words is "two hundred twenty-four billion, one hundred forty-four million, four hundred thirty-two thousand, four hundred one".