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2242864 = 241341263
BaseRepresentation
bin1000100011100100110000
311012221122001
420203210300
51033232424
6120023344
725030651
oct10434460
94187561
102242864
1112a2108
12901b54
13606b50
14425528
152e4844
hex223930

2242864 has 40 divisors (see below), whose sum is σ = 4812192. Its totient is φ = 1006080.

The previous prime is 2242847. The next prime is 2242871. The reversal of 2242864 is 4682422.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 25 + 211 + 42 + 219 + 85 + 68 + 46 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8397 + ... + 8659.

22242864 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 2242864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406096).

2242864 is an abundant number, since it is smaller than the sum of its proper divisors (2569328).

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

2242864 is a wasteful number, since it uses less digits than its factorization.

2242864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 319 counting only the distinct ones).

The product of its digits is 6144, while the sum is 28.

The square root of 2242864 is about 1497.6194443182. The cubic root of 2242864 is about 130.8983925507.

The spelling of 2242864 in words is "two million, two hundred forty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 263 328 526 533 656 1052 1066 2104 2132 3419 4208 4264 6838 8528 10783 13676 21566 27352 43132 54704 86264 140179 172528 280358 560716 1121432 2242864