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2297792 = 26723223
BaseRepresentation
bin1000110000111111000000
311022201222102
420300333000
51042012132
6121125532
725350050
oct10607700
94281872
102297792
11132a402
129298a8
13625b53
1443b560
15305c62
hex230fc0

2297792 has 56 divisors (see below), whose sum is σ = 5462016. Its totient is φ = 937728.

The previous prime is 2297777. The next prime is 2297797. The reversal of 2297792 is 2977922.

It is a tau number, because it is divible by the number of its divisors (56).

It is a d-powerful number, because it can be written as 27 + 213 + 95 + 77 + 77 + 95 + 219 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2297797) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10193 + ... + 10415.

It is an arithmetic number, because the mean of its divisors is an integer number (97536).

22297792 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 2297792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731008).

2297792 is an abundant number, since it is smaller than the sum of its proper divisors (3164224).

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

2297792 is a wasteful number, since it uses less digits than its factorization.

2297792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 255 counting only the distinct ones).

The product of its digits is 31752, while the sum is 38.

The square root of 2297792 is about 1515.8469579743. The cubic root of 2297792 is about 131.9583584596.

The spelling of 2297792 in words is "two million, two hundred ninety-seven thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 223 224 322 368 446 448 644 736 892 1288 1472 1561 1784 2576 3122 3568 5129 5152 6244 7136 10258 10304 12488 14272 20516 24976 35903 41032 49952 71806 82064 99904 143612 164128 287224 328256 574448 1148896 2297792