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2274048 = 2833747
BaseRepresentation
bin1000101011001100000000
311021112102000
420223030000
51040232143
6120424000
725220610
oct10531400
94245360
102274048
111313587
12918000
136180ba
14432a40
152edbd3
hex22b300

2274048 has 144 divisors (see below), whose sum is σ = 7848960. Its totient is φ = 635904.

The previous prime is 2274031. The next prime is 2274049. The reversal of 2274048 is 8404722.

2274048 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2274049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48361 + ... + 48407.

22274048 is an apocalyptic number.

2274048 is a gapful number since it is divisible by the number (28) 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 2274048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3924480).

2274048 is an abundant number, since it is smaller than the sum of its proper divisors (5574912).

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

2274048 is an equidigital number, since it uses as much as digits as its factorization.

2274048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2274048 is about 1507.9946949509. The cubic root of 2274048 is about 131.5022577164.

The spelling of 2274048 in words is "two million, two hundred seventy-four thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 47 48 54 56 63 64 72 84 94 96 108 112 126 128 141 144 168 188 189 192 216 224 252 256 282 288 329 336 376 378 384 423 432 448 504 564 576 658 672 752 756 768 846 864 896 987 1008 1128 1152 1269 1316 1344 1504 1512 1692 1728 1792 1974 2016 2256 2304 2538 2632 2688 2961 3008 3024 3384 3456 3948 4032 4512 5076 5264 5376 5922 6016 6048 6768 6912 7896 8064 8883 9024 10152 10528 11844 12032 12096 13536 15792 16128 17766 18048 20304 21056 23688 24192 27072 31584 35532 36096 40608 42112 47376 48384 54144 63168 71064 81216 84224 94752 108288 126336 142128 162432 189504 252672 284256 324864 379008 568512 758016 1137024 2274048