Search a number
-
+
2242433153 is a prime number
BaseRepresentation
bin1000010110101000…
…1101000010000001
312210021112101222202
42011222031002001
514043030330103
61010303042545
7106366236662
oct20552150201
95707471882
102242433153
11a50882244
12526ba0455
1329976a82c
14173b65369
15d1cee988
hex85a8d081

2242433153 has 2 divisors, whose sum is σ = 2242433154. Its totient is φ = 2242433152.

The previous prime is 2242433147. The next prime is 2242433159. The reversal of 2242433153 is 3513342422.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (2242433147) and next prime (2242433159).

It can be written as a sum of positive squares in only one way, i.e., 2224725889 + 17707264 = 47167^2 + 4208^2 .

It is a cyclic number.

It is not a de Polignac number, because 2242433153 - 28 = 2242432897 is a prime.

It is not a weakly prime, because it can be changed into another prime (2242433159) 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, 1121216576 + 1121216577.

It is an arithmetic number, because the mean of its divisors is an integer number (1121216577).

Almost surely, 22242433153 is an apocalyptic number.

It is an amenable number.

2242433153 is a deficient number, since it is larger than the sum of its proper divisors (1).

2242433153 is an equidigital number, since it uses as much as digits as its factorization.

2242433153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17280, while the sum is 29.

The square root of 2242433153 is about 47354.3361583710. The cubic root of 2242433153 is about 1308.9001029312.

Adding to 2242433153 its reverse (3513342422), we get a palindrome (5755775575).

The spelling of 2242433153 in words is "two billion, two hundred forty-two million, four hundred thirty-three thousand, one hundred fifty-three".