Search a number
-
+
2225808 = 2432132941
BaseRepresentation
bin1000011111011010010000
311012002020100
420133122100
51032211213
6115412400
724630144
oct10373220
94162210
102225808
111290312
128b4100
135cc160
1441d224
152de773
hex21f690

2225808 has 120 divisors (see below), whose sum is σ = 7108920. Its totient is φ = 645120.

The previous prime is 2225791. The next prime is 2225819. The reversal of 2225808 is 8085222.

It can be written as a sum of positive squares in 4 ways, for example, as 11664 + 2214144 = 108^2 + 1488^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54268 + ... + 54308.

It is an arithmetic number, because the mean of its divisors is an integer number (59241).

22225808 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 2225808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554460).

2225808 is an abundant number, since it is smaller than the sum of its proper divisors (4883112).

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

2225808 is a wasteful number, since it uses less digits than its factorization.

2225808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2225808 is about 1491.9142066486. The cubic root of 2225808 is about 130.5657395473.

The spelling of 2225808 in words is "two million, two hundred twenty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 29 36 39 41 48 52 58 72 78 82 87 104 116 117 123 144 156 164 174 208 232 234 246 261 312 328 348 369 377 464 468 492 522 533 624 656 696 738 754 936 984 1044 1066 1131 1189 1392 1476 1508 1599 1872 1968 2088 2132 2262 2378 2952 3016 3198 3393 3567 4176 4264 4524 4756 4797 5904 6032 6396 6786 7134 8528 9048 9512 9594 10701 12792 13572 14268 15457 18096 19024 19188 21402 25584 27144 28536 30914 38376 42804 46371 54288 57072 61828 76752 85608 92742 123656 139113 171216 185484 247312 278226 370968 556452 741936 1112904 2225808