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2231056 = 241941179
BaseRepresentation
bin1000100000101100010000
311012100102201
420200230100
51032343211
6115452544
724651352
oct10405420
94170381
102231056
111294253
128b7154
13601669
144210d2
152e10c1
hex220b10

2231056 has 40 divisors (see below), whose sum is σ = 4687200. Its totient is φ = 1025280.

The previous prime is 2231051. The next prime is 2231059. The reversal of 2231056 is 6501322.

It is a happy number.

It is a super-3 number, since 3×22310563 = 33315985825912270848, which contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (2231051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12375 + ... + 12553.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

22231056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343600).

2231056 is an abundant number, since it is smaller than the sum of its proper divisors (2456144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2231056 is a wasteful number, since it uses less digits than its factorization.

2231056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 2231056 is about 1493.6719854105. The cubic root of 2231056 is about 130.6682747731.

Adding to 2231056 its reverse (6501322), we get a palindrome (8732378).

It can be divided in two parts, 22310 and 56, that added together give a triangular number (22366 = T211).

The spelling of 2231056 in words is "two million, two hundred thirty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 19 38 41 76 82 152 164 179 304 328 358 656 716 779 1432 1558 2864 3116 3401 6232 6802 7339 12464 13604 14678 27208 29356 54416 58712 117424 139441 278882 557764 1115528 2231056