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2241663808 = 26299371289
BaseRepresentation
bin1000010110011101…
…0001001101000000
312210020002022122111
42011213101031000
514042331220213
61010234345104
7106356553666
oct20547211500
95706068574
102241663808
11a503a721a
1252688b194
1329955b5b7
14173a04c36
15d1beba3d
hex859d1340

2241663808 has 56 divisors (see below), whose sum is σ = 4610176200. Its totient is φ = 1080188928.

The previous prime is 2241663799. The next prime is 2241663839. The reversal of 2241663808 is 8083661422.

It can be written as a sum of positive squares in 4 ways, for example, as 190660864 + 2051002944 = 13808^2 + 45288^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1738428 + ... + 1739716.

It is an arithmetic number, because the mean of its divisors is an integer number (82324575).

Almost surely, 22241663808 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 2241663808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305088100).

2241663808 is an abundant number, since it is smaller than the sum of its proper divisors (2368512392).

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

2241663808 is a wasteful number, since it uses less digits than its factorization.

2241663808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 2241663808 is about 47346.2121821799. The cubic root of 2241663808 is about 1308.7503978468.

The spelling of 2241663808 in words is "two billion, two hundred forty-one million, six hundred sixty-three thousand, eight hundred eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 937 1289 1856 1874 2578 3748 5156 7496 10312 14992 20624 27173 29984 37381 41248 54346 59968 74762 82496 108692 149524 217384 299048 434768 598096 869536 1196192 1207793 1739072 2392384 2415586 4831172 9662344 19324688 35025997 38649376 70051994 77298752 140103988 280207976 560415952 1120831904 2241663808