Search a number
-
+
2257981 = 11218661
BaseRepresentation
bin1000100111010000111101
311020201100221
420213100331
51034223411
6120221341
725123015
oct10472075
94221327
102257981
111302500
1290a851
136109ab
1442ac45
152e9071
hex22743d

2257981 has 6 divisors (see below), whose sum is σ = 2482046. Its totient is φ = 2052600.

The previous prime is 2257961. The next prime is 2257987. The reversal of 2257981 is 1897522.

2257981 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1464100 + 793881 = 1210^2 + 891^2 .

It is not a de Polignac number, because 2257981 - 25 = 2257949 is a prime.

It is a super-2 number, since 2×22579812 = 10196956392722, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257987) 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 in 5 ways as a sum of consecutive naturals, for example, 9210 + ... + 9451.

22257981 is an apocalyptic number.

It is an amenable number.

2257981 is a deficient number, since it is larger than the sum of its proper divisors (224065).

2257981 is a wasteful number, since it uses less digits than its factorization.

2257981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18683 (or 18672 counting only the distinct ones).

The product of its digits is 10080, while the sum is 34.

The square root of 2257981 is about 1502.6579783836. The cubic root of 2257981 is about 131.1918212295.

The spelling of 2257981 in words is "two million, two hundred fifty-seven thousand, nine hundred eighty-one".

Divisors: 1 11 121 18661 205271 2257981