Search a number
-
+
2153201 is a prime number
BaseRepresentation
bin1000001101101011110001
311001101122012
420031223301
51022400301
6114052305
724205361
oct10155361
94041565
102153201
111240806
1287a095
135a50ab
144009a1
152c7ebb
hex20daf1

2153201 has 2 divisors, whose sum is σ = 2153202. Its totient is φ = 2153200.

The previous prime is 2153171. The next prime is 2153209. The reversal of 2153201 is 1023512.

It is a happy number.

2153201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1849600 + 303601 = 1360^2 + 551^2 .

It is a cyclic number.

It is not a de Polignac number, because 2153201 - 214 = 2136817 is a prime.

It is not a weakly prime, because it can be changed into another prime (2153209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1076600 + 1076601.

It is an arithmetic number, because the mean of its divisors is an integer number (1076601).

22153201 is an apocalyptic number.

It is an amenable number.

2153201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2153201 is an equidigital number, since it uses as much as digits as its factorization.

2153201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 2153201 is about 1467.3789558257. The cubic root of 2153201 is about 129.1303092029.

Adding to 2153201 its reverse (1023512), we get a palindrome (3176713).

The spelling of 2153201 in words is "two million, one hundred fifty-three thousand, two hundred one".