Search a number
-
+
2257111 = 37531151
BaseRepresentation
bin1000100111000011010111
311020200011201
420213003113
51034211421
6120213331
725120333
oct10470327
94220151
102257111
11130188a
1290a247
1361048c
1442a7c3
152e8b91
hex2270d7

2257111 has 8 divisors (see below), whose sum is σ = 2363904. Its totient is φ = 2152800.

The previous prime is 2257103. The next prime is 2257117. The reversal of 2257111 is 1117522.

2257111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2257111 - 23 = 2257103 is a prime.

It is a Duffinian number.

2257111 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257117) 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 7 ways as a sum of consecutive naturals, for example, 1386 + ... + 2536.

It is an arithmetic number, because the mean of its divisors is an integer number (295488).

22257111 is an apocalyptic number.

2257111 is a deficient number, since it is larger than the sum of its proper divisors (106793).

2257111 is a wasteful number, since it uses less digits than its factorization.

2257111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241.

The product of its digits is 140, while the sum is 19.

The square root of 2257111 is about 1502.3684634603. The cubic root of 2257111 is about 131.1749696636.

The spelling of 2257111 in words is "two million, two hundred fifty-seven thousand, one hundred eleven".

Divisors: 1 37 53 1151 1961 42587 61003 2257111