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2242552541 is a prime number
BaseRepresentation
bin1000010110101010…
…1010001011011101
312210021202110202112
42011222222023131
514043043140131
61010305403405
7106400245025
oct20552521335
95707673675
102242552541
11a50953a09
12527039565
132997acc88
14173b96a85
15d1d2502b
hex85aaa2dd

2242552541 has 2 divisors, whose sum is σ = 2242552542. Its totient is φ = 2242552540.

The previous prime is 2242552531. The next prime is 2242552547. The reversal of 2242552541 is 1452552422.

2242552541 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., 1744816441 + 497736100 = 41771^2 + 22310^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2242552541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2242552498 and 2242552507.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2242552547) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1121276270 + 1121276271.

It is an arithmetic number, because the mean of its divisors is an integer number (1121276271).

Almost surely, 22242552541 is an apocalyptic number.

It is an amenable number.

2242552541 is a deficient number, since it is larger than the sum of its proper divisors (1).

2242552541 is an equidigital number, since it uses as much as digits as its factorization.

2242552541 is an evil number, because the sum of its binary digits is even.

The product of its digits is 32000, while the sum is 32.

The square root of 2242552541 is about 47355.5967230907. The cubic root of 2242552541 is about 1308.9233312999.

The spelling of 2242552541 in words is "two billion, two hundred forty-two million, five hundred fifty-two thousand, five hundred forty-one".