Search a number
-
+
2148111 = 32724871
BaseRepresentation
bin1000001100011100001111
311001010122200
420030130033
51022214421
6114012543
724154500
oct10143417
94033580
102148111
1112379a9
12877153
135a2994
143dcba7
152c6726
hex20c70f

2148111 has 18 divisors (see below), whose sum is σ = 3610152. Its totient is φ = 1227240.

The previous prime is 2148073. The next prime is 2148127. The reversal of 2148111 is 1118412.

It is not a de Polignac number, because 2148111 - 29 = 2147599 is a prime.

It is a super-2 number, since 2×21481112 = 9228761736642, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148011) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1995 + ... + 2876.

It is an arithmetic number, because the mean of its divisors is an integer number (200564).

22148111 is an apocalyptic number.

2148111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2148111 is a deficient number, since it is larger than the sum of its proper divisors (1462041).

2148111 is a wasteful number, since it uses less digits than its factorization.

2148111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4891 (or 4881 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

The square root of 2148111 is about 1465.6435446588. The cubic root of 2148111 is about 129.0284775781.

It can be divided in two parts, 21 and 48111, that multiplied together give a triangular number (1010331 = T1421).

The spelling of 2148111 in words is "two million, one hundred forty-eight thousand, one hundred eleven".

Divisors: 1 3 7 9 21 49 63 147 441 4871 14613 34097 43839 102291 238679 306873 716037 2148111