Search a number
-
+
216746401 is a prime number
BaseRepresentation
bin11001110101101…
…00100110100001
3120002211212011111
430322310212201
5420441341101
633301343321
75241212464
oct1472644641
9502755144
10216746401
11101390863
1260707b41
1335b9b811
1420b012db
1514066251
hexceb49a1

216746401 has 2 divisors, whose sum is σ = 216746402. Its totient is φ = 216746400.

The previous prime is 216746381. The next prime is 216746423. The reversal of 216746401 is 104647612.

216746401 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., 150307600 + 66438801 = 12260^2 + 8151^2 .

It is a cyclic number.

It is not a de Polignac number, because 216746401 - 213 = 216738209 is a prime.

It is not a weakly prime, because it can be changed into another prime (216746501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108373200 + 108373201.

It is an arithmetic number, because the mean of its divisors is an integer number (108373201).

Almost surely, 2216746401 is an apocalyptic number.

It is an amenable number.

216746401 is a deficient number, since it is larger than the sum of its proper divisors (1).

216746401 is an equidigital number, since it uses as much as digits as its factorization.

216746401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 216746401 is about 14722.3096353799. The cubic root of 216746401 is about 600.6903175020.

The spelling of 216746401 in words is "two hundred sixteen million, seven hundred forty-six thousand, four hundred one".