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2240568 = 2333112341
BaseRepresentation
bin1000100011000000111000
311012211111000
420203000320
51033144233
6120005000
725021161
oct10430070
94184430
102240568
1112a0410
12900760
13605aa5
14424768
152e3d13
hex223038

2240568 has 128 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 633600.

The previous prime is 2240551. The next prime is 2240573. The reversal of 2240568 is 8650422.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 54628 + ... + 54668.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

22240568 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 2240568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800).

2240568 is an abundant number, since it is smaller than the sum of its proper divisors (5017032).

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

2240568 is a wasteful number, since it uses less digits than its factorization.

2240568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2240568 is about 1496.8526981637. The cubic root of 2240568 is about 130.8537107923.

The spelling of 2240568 in words is "two million, two hundred forty thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 27 33 36 41 44 46 54 66 69 72 82 88 92 99 108 123 132 138 164 184 198 207 216 246 253 264 276 297 328 369 396 414 451 492 506 552 594 621 738 759 792 828 902 943 984 1012 1107 1188 1242 1353 1476 1518 1656 1804 1886 2024 2214 2277 2376 2484 2706 2829 2952 3036 3608 3772 4059 4428 4554 4968 5412 5658 6072 6831 7544 8118 8487 8856 9108 10373 10824 11316 12177 13662 16236 16974 18216 20746 22632 24354 25461 27324 31119 32472 33948 41492 48708 50922 54648 62238 67896 82984 93357 97416 101844 124476 186714 203688 248952 280071 373428 560142 746856 1120284 2240568