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2284256 = 251317219
BaseRepresentation
bin1000101101101011100000
311022001102002
420231223200
51041044011
6120543132
725262432
oct10555340
94261362
102284256
111320217
12921aa8
1361c940
14436652
15301c3b
hex22dae0

2284256 has 72 divisors (see below), whose sum is σ = 5415480. Its totient is φ = 940032.

The previous prime is 2284241. The next prime is 2284277. The reversal of 2284256 is 6524822.

It is a congruent number.

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, 120215 + ... + 120233.

It is an arithmetic number, because the mean of its divisors is an integer number (75215).

22284256 is an apocalyptic number.

2284256 is a gapful number since it is divisible by the number (26) 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 2284256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707740).

2284256 is an abundant number, since it is smaller than the sum of its proper divisors (3131224).

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

2284256 is a wasteful number, since it uses less digits than its factorization.

2284256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 51 counting only the distinct ones).

The product of its digits is 7680, while the sum is 29.

The square root of 2284256 is about 1511.3755324207. The cubic root of 2284256 is about 131.6987313528.

The spelling of 2284256 in words is "two million, two hundred eighty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 17 19 26 32 34 38 52 68 76 104 136 152 208 221 247 272 289 304 323 416 442 494 544 578 608 646 884 988 1156 1292 1768 1976 2312 2584 3536 3757 3952 4199 4624 5168 5491 7072 7514 7904 8398 9248 10336 10982 15028 16796 21964 30056 33592 43928 60112 67184 71383 87856 120224 134368 142766 175712 285532 571064 1142128 2284256