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2228544 = 26325373
BaseRepresentation
bin1000100000000101000000
311012012222200
420200011000
51032303134
6115433200
724641133
oct10400500
94165880
102228544
11129237a
128b5800
13600486
1442021a
152e0499
hex220140

2228544 has 84 divisors (see below), whose sum is σ = 6597396. Its totient is φ = 718848.

The previous prime is 2228543. The next prime is 2228549. The reversal of 2228544 is 4458222.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1440000 + 788544 = 1200^2 + 888^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30492 + ... + 30564.

22228544 is an apocalyptic number.

2228544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2228544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3298698).

2228544 is an abundant number, since it is smaller than the sum of its proper divisors (4368852).

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

2228544 is a wasteful number, since it uses less digits than its factorization.

2228544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 131 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 2228544 is about 1492.8308678481. The cubic root of 2228544 is about 130.6192154975.

It can be divided in two parts, 2228 and 544, that added together give a palindrome (2772).

The spelling of 2228544 in words is "two million, two hundred twenty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 73 96 106 144 146 159 192 212 219 288 292 318 424 438 477 576 584 636 657 848 876 954 1168 1272 1314 1696 1752 1908 2336 2544 2628 3392 3504 3816 3869 4672 5088 5256 7008 7632 7738 10176 10512 11607 14016 15264 15476 21024 23214 30528 30952 34821 42048 46428 61904 69642 92856 123808 139284 185712 247616 278568 371424 557136 742848 1114272 2228544