Search a number
-
+
225810157822061 is a prime number
BaseRepresentation
bin110011010101111110000110…
…001111100110000001101101
31002121112020111011002020220212
4303111332012033212001231
5214044133200400301221
62120131430541552205
765364150134064311
oct6325760617460155
91077466434066825
10225810157822061
1165a4a6062606aa
12213ab630b75665
1398cca63bab027
143da93aca75b41
151b18c915bdb5b
hexcd5f863e606d

225810157822061 has 2 divisors, whose sum is σ = 225810157822062. Its totient is φ = 225810157822060.

The previous prime is 225810157822043. The next prime is 225810157822069. The reversal of 225810157822061 is 160228751018522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 190136355532036 + 35673802290025 = 13788994^2 + 5972755^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-225810157822061 is a prime.

It is a super-3 number, since 3×2258101578220613 (a number of 44 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225810157822069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112905078911030 + 112905078911031.

It is an arithmetic number, because the mean of its divisors is an integer number (112905078911031).

Almost surely, 2225810157822061 is an apocalyptic number.

It is an amenable number.

225810157822061 is a deficient number, since it is larger than the sum of its proper divisors (1).

225810157822061 is an equidigital number, since it uses as much as digits as its factorization.

225810157822061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1075200, while the sum is 50.

The spelling of 225810157822061 in words is "two hundred twenty-five trillion, eight hundred ten billion, one hundred fifty-seven million, eight hundred twenty-two thousand, sixty-one".