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2271456 = 253311239
BaseRepresentation
bin1000101010100011100000
311021101212000
420222203200
51040141311
6120404000
725210215
oct10524340
94241760
102271456
111311640
12916600
13616b75
14431b0c
152ed056
hex22a8e0

2271456 has 96 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 685440.

The previous prime is 2271443. The next prime is 2271473. The reversal of 2271456 is 6541722.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9385 + ... + 9623.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

22271456 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 2271456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800).

2271456 is an abundant number, since it is smaller than the sum of its proper divisors (4986144).

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

2271456 is a wasteful number, since it uses less digits than its factorization.

2271456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 255 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 2271456 is about 1507.1350304468. The cubic root of 2271456 is about 131.4522758576.

The spelling of 2271456 in words is "two million, two hundred seventy-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 239 264 288 297 352 396 432 478 528 594 717 792 864 956 1056 1188 1434 1584 1912 2151 2376 2629 2868 3168 3824 4302 4752 5258 5736 6453 7648 7887 8604 9504 10516 11472 12906 15774 17208 21032 22944 23661 25812 31548 34416 42064 47322 51624 63096 68832 70983 84128 94644 103248 126192 141966 189288 206496 252384 283932 378576 567864 757152 1135728 2271456