Search a number
-
+
2047231 = 19253107
BaseRepresentation
bin111110011110011111111
310212000021101
413303303333
51011002411
6111513531
723254414
oct7636377
93760241
102047231
11117912a
128288a7
13568aa4
143b410b
152a68c1
hex1f3cff

2047231 has 12 divisors (see below), whose sum is σ = 2221992. Its totient is φ = 1885104.

The previous prime is 2047219. The next prime is 2047237. The reversal of 2047231 is 1327402.

It is not a de Polignac number, because 2047231 - 29 = 2046719 is a prime.

It is a super-2 number, since 2×20472312 = 8382309534722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 2047199 and 2047208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2047237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19080 + ... + 19186.

It is an arithmetic number, because the mean of its divisors is an integer number (185166).

22047231 is an apocalyptic number.

2047231 is a deficient number, since it is larger than the sum of its proper divisors (174761).

2047231 is a wasteful number, since it uses less digits than its factorization.

2047231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 2047231 is about 1430.8148028309. The cubic root of 2047231 is about 126.9761874878.

It can be divided in two parts, 20472 and 31, that added together give a triangular number (20503 = T202).

The spelling of 2047231 in words is "two million, forty-seven thousand, two hundred thirty-one".

Divisors: 1 19 53 107 361 1007 2033 5671 19133 38627 107749 2047231