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2241008 = 2471117107
BaseRepresentation
bin1000100011000111110000
311012212002022
420203013300
51033203013
6120011012
725022360
oct10430760
94185068
102241008
1112a0780
12900a68
13606053
144249a0
152e4008
hex2231f0

2241008 has 80 divisors (see below), whose sum is σ = 5785344. Its totient is φ = 814080.

The previous prime is 2240977. The next prime is 2241011. The reversal of 2241008 is 8001422.

It is a Cunningham number, because it is equal to 14972-1.

It is a Harshad number since it is a multiple of its sum of digits (17).

2241008 is a modest number, since divided by 1008 gives 224 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20891 + ... + 20997.

22241008 is an apocalyptic number.

2241008 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 2241008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892672).

2241008 is an abundant number, since it is smaller than the sum of its proper divisors (3544336).

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

2241008 is a wasteful number, since it uses less digits than its factorization.

2241008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2241008 is about 1496.9996659986. Note that the first 3 decimals coincide. The cubic root of 2241008 is about 130.8622758622.

The spelling of 2241008 in words is "two million, two hundred forty-one thousand, eight".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 56 68 77 88 107 112 119 136 154 176 187 214 238 272 308 374 428 476 616 748 749 856 952 1177 1232 1309 1496 1498 1712 1819 1904 2354 2618 2992 2996 3638 4708 5236 5992 7276 8239 9416 10472 11984 12733 14552 16478 18832 20009 20944 25466 29104 32956 40018 50932 65912 80036 101864 131824 140063 160072 203728 280126 320144 560252 1120504 2241008