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2256111 = 3211131753
BaseRepresentation
bin1000100110110011101111
311020121210200
420212303233
51034143421
6120204543
725114404
oct10466357
94217720
102256111
111301060
12909753
1360cba0
1442a2ab
152e8726
hex226cef

2256111 has 24 divisors (see below), whose sum is σ = 3830736. Its totient is φ = 1261440.

The previous prime is 2256097. The next prime is 2256119. The reversal of 2256111 is 1116522.

It is not a de Polignac number, because 2256111 - 213 = 2247919 is a prime.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411 + ... + 2163.

It is an arithmetic number, because the mean of its divisors is an integer number (159614).

22256111 is an apocalyptic number.

2256111 is a deficient number, since it is larger than the sum of its proper divisors (1574625).

2256111 is a wasteful number, since it uses less digits than its factorization.

2256111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1780 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 2256111 is about 1502.0356187521. The cubic root of 2256111 is about 131.1555946976.

It can be divided in two parts, 225 and 6111, that added together give a palindrome (6336).

The spelling of 2256111 in words is "two million, two hundred fifty-six thousand, one hundred eleven".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 1753 5259 15777 19283 22789 57849 68367 173547 205101 250679 752037 2256111