Search a number
-
+
2257004401 is a prime number
BaseRepresentation
bin1000011010000111…
…0010011101110001
312211021221200222121
42012201302131301
514110243120101
61011543234241
7106634135521
oct20641623561
95737850877
102257004401
11a590248a3
1252ba48981
1329c79cc82
14175a79681
15d322c0a1
hex86872771

2257004401 has 2 divisors, whose sum is σ = 2257004402. Its totient is φ = 2257004400.

The previous prime is 2257004369. The next prime is 2257004423. The reversal of 2257004401 is 1044007522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1366041600 + 890962801 = 36960^2 + 29849^2 .

It is a cyclic number.

It is not a de Polignac number, because 2257004401 - 25 = 2257004369 is a prime.

It is a super-2 number, since 2×22570044012 = 10188137732266737602, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2257034401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1128502200 + 1128502201.

It is an arithmetic number, because the mean of its divisors is an integer number (1128502201).

Almost surely, 22257004401 is an apocalyptic number.

It is an amenable number.

2257004401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2257004401 is an equidigital number, since it uses as much as digits as its factorization.

2257004401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 2257004401 is about 47507.9403994743. The cubic root of 2257004401 is about 1311.7290458413.

The spelling of 2257004401 in words is "two billion, two hundred fifty-seven million, four thousand, four hundred one".