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224215136332049 is a prime number
BaseRepresentation
bin110010111110110000100111…
…100011011110100100010001
31002101212202110100202021202102
4302332300213203132210101
5213342020044400111144
62112511002303530145
765141003045111522
oct6276604743364421
91071782410667672
10224215136332049
1165495118201485
122119248b5b9955
13981552052b1b5
143d520db654849
151adc53c0e8b4e
hexcbec278de911

224215136332049 has 2 divisors, whose sum is σ = 224215136332050. Its totient is φ = 224215136332048.

The previous prime is 224215136332003. The next prime is 224215136332123. The reversal of 224215136332049 is 940233631512422.

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., 223707810628225 + 507325703824 = 14956865^2 + 712268^2 .

It is a cyclic number.

It is not a de Polignac number, because 224215136332049 - 28 = 224215136331793 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 224215136331994 and 224215136332012.

It is not a weakly prime, because it can be changed into another prime (224215136352049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112107568166024 + 112107568166025.

It is an arithmetic number, because the mean of its divisors is an integer number (112107568166025).

Almost surely, 2224215136332049 is an apocalyptic number.

It is an amenable number.

224215136332049 is a deficient number, since it is larger than the sum of its proper divisors (1).

224215136332049 is an equidigital number, since it uses as much as digits as its factorization.

224215136332049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1866240, while the sum is 47.

The spelling of 224215136332049 in words is "two hundred twenty-four trillion, two hundred fifteen billion, one hundred thirty-six million, three hundred thirty-two thousand, forty-nine".