[go: up one dir, main page]

Search a number
-
+
2275008 = 26317241
BaseRepresentation
bin1000101011011011000000
311021120201120
420223123000
51040300013
6120432240
725223451
oct10533300
94246646
102275008
11131427a
12918680
13618678
14433128
152ee123
hex22b6c0

2275008 has 84 divisors (see below), whose sum is σ = 6550152. Its totient is φ = 696320.

The previous prime is 2274977. The next prime is 2275027. The reversal of 2275008 is 8005722.

It is a super-2 number, since 2×22750082 = 10351322800128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55468 + ... + 55508.

It is an arithmetic number, because the mean of its divisors is an integer number (77978).

22275008 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 2275008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3275076).

2275008 is an abundant number, since it is smaller than the sum of its proper divisors (4275144).

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

2275008 is a wasteful number, since it uses less digits than its factorization.

2275008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 2275008 is about 1508.3129648717. The cubic root of 2275008 is about 131.5207598774.

The spelling of 2275008 in words is "two million, two hundred seventy-five thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 41 48 51 64 68 82 96 102 123 136 164 192 204 246 272 289 328 408 492 544 578 656 697 816 867 984 1088 1156 1312 1394 1632 1734 1968 2091 2312 2624 2788 3264 3468 3936 4182 4624 5576 6936 7872 8364 9248 11152 11849 13872 16728 18496 22304 23698 27744 33456 35547 44608 47396 55488 66912 71094 94792 133824 142188 189584 284376 379168 568752 758336 1137504 2275008