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223221541157 is a prime number
BaseRepresentation
bin1100111111100100001…
…0100110100100100101
3210100011200201012102022
43033321002212210211
512124124203304112
6250314020152525
722061431536116
oct3177102464445
9710150635368
10223221541157
118673881682a
1237318538745
1318085268384
14ab3819c20d
155c16e45d72
hex33f90a6925

223221541157 has 2 divisors, whose sum is σ = 223221541158. Its totient is φ = 223221541156.

The previous prime is 223221541129. The next prime is 223221541289. The reversal of 223221541157 is 751145122322.

223221541157 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 193939828996 + 29281712161 = 440386^2 + 171119^2 .

It is a cyclic number.

It is not a de Polignac number, because 223221541157 - 26 = 223221541093 is a prime.

It is a super-3 number, since 3×2232215411573 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223221511157) 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 as a sum of consecutive naturals, namely, 111610770578 + 111610770579.

It is an arithmetic number, because the mean of its divisors is an integer number (111610770579).

Almost surely, 2223221541157 is an apocalyptic number.

It is an amenable number.

223221541157 is a deficient number, since it is larger than the sum of its proper divisors (1).

223221541157 is an equidigital number, since it uses as much as digits as its factorization.

223221541157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 33600, while the sum is 35.

Adding to 223221541157 its reverse (751145122322), we get a palindrome (974366663479).

The spelling of 223221541157 in words is "two hundred twenty-three billion, two hundred twenty-one million, five hundred forty-one thousand, one hundred fifty-seven".