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2282256 = 2435587
BaseRepresentation
bin1000101101001100010000
311021221200000
420231030100
51041013011
6120530000
725253544
oct10551420
94257600
102282256
111319769
12920900
1361ba62
14435a24
15301356
hex22d310

2282256 has 60 divisors (see below), whose sum is σ = 6634992. Its totient is φ = 759456.

The previous prime is 2282249. The next prime is 2282257. The reversal of 2282256 is 6522822.

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

It is not an unprimeable number, because it can be changed into a prime (2282257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3595 + ... + 4181.

22282256 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 2282256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317496).

2282256 is an abundant number, since it is smaller than the sum of its proper divisors (4352736).

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

2282256 is an equidigital number, since it uses as much as digits as its factorization.

2282256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 592 counting only the distinct ones).

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

The square root of 2282256 is about 1510.7137386017. The cubic root of 2282256 is about 131.6602834770.

The spelling of 2282256 in words is "two million, two hundred eighty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 587 648 972 1174 1296 1761 1944 2348 3522 3888 4696 5283 7044 9392 10566 14088 15849 21132 28176 31698 42264 47547 63396 84528 95094 126792 142641 190188 253584 285282 380376 570564 760752 1141128 2282256