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2275056 = 243273761
BaseRepresentation
bin1000101011011011110000
311021120210100
420223123300
51040300211
6120432400
725223550
oct10533360
94246710
102275056
111314313
12918700
136186b4
14433160
152ee156
hex22b6f0

2275056 has 120 divisors (see below), whose sum is σ = 7595744. Its totient is φ = 622080.

The previous prime is 2275043. The next prime is 2275057. The reversal of 2275056 is 6505722.

2275056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2275057) 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 23 ways as a sum of consecutive naturals, for example, 37266 + ... + 37326.

22275056 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 2275056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3797872).

2275056 is an abundant number, since it is smaller than the sum of its proper divisors (5320688).

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

2275056 is a wasteful number, since it uses less digits than its factorization.

2275056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2275056 is about 1508.3288766048. The cubic root of 2275056 is about 131.5216848489.

It can be divided in two parts, 22 and 75056, that added together give a triangular number (75078 = T387).

The spelling of 2275056 in words is "two million, two hundred seventy-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 37 42 48 56 61 63 72 74 84 111 112 122 126 144 148 168 183 222 244 252 259 296 333 336 366 427 444 488 504 518 549 592 666 732 777 854 888 976 1008 1036 1098 1281 1332 1464 1554 1708 1776 2072 2196 2257 2331 2562 2664 2928 3108 3416 3843 4144 4392 4514 4662 5124 5328 6216 6771 6832 7686 8784 9028 9324 10248 12432 13542 15372 15799 18056 18648 20313 20496 27084 30744 31598 36112 37296 40626 47397 54168 61488 63196 81252 94794 108336 126392 142191 162504 189588 252784 284382 325008 379176 568764 758352 1137528 2275056