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221334220157 is a prime number
BaseRepresentation
bin1100111000100010001…
…1000010110101111101
3210011022011101100201112
43032020203002311331
512111243030021112
6245402440251405
721663603554411
oct3161043026575
9704264340645
10221334220157
118595a440606
1236a90470b65
1317b4425389b
14a9d9674d41
155b563dea22
hex33888c2d7d

221334220157 has 2 divisors, whose sum is σ = 221334220158. Its totient is φ = 221334220156.

The previous prime is 221334220147. The next prime is 221334220213. The reversal of 221334220157 is 751022433122.

221334220157 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., 209856526201 + 11477693956 = 458101^2 + 107134^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221334220157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221334220127) 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, 110667110078 + 110667110079.

It is an arithmetic number, because the mean of its divisors is an integer number (110667110079).

Almost surely, 2221334220157 is an apocalyptic number.

It is an amenable number.

221334220157 is a deficient number, since it is larger than the sum of its proper divisors (1).

221334220157 is an equidigital number, since it uses as much as digits as its factorization.

221334220157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 32.

Adding to 221334220157 its reverse (751022433122), we get a palindrome (972356653279).

The spelling of 221334220157 in words is "two hundred twenty-one billion, three hundred thirty-four million, two hundred twenty thousand, one hundred fifty-seven".