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2296820 = 225412801
BaseRepresentation
bin1000110000101111110100
311022200122102
420300233310
51041444240
6121121232
725344161
oct10605764
94280572
102296820
1113296a9
12929218
13625586
1443b068
15305815
hex230bf4

2296820 has 24 divisors (see below), whose sum is σ = 4942728. Its totient is φ = 896000.

The previous prime is 2296817. The next prime is 2296837. The reversal of 2296820 is 286922.

2296820 = T35 + T36 + ... + T239.

It is a happy number.

2296820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4624 + 2292196 = 68^2 + 1514^2 .

It is a super-2 number, since 2×22968202 = 10550764224800, which contains 22 as substring.

It is a house number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 581 + ... + 2220.

It is an arithmetic number, because the mean of its divisors is an integer number (205947).

22296820 is an apocalyptic number.

2296820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2296820 is an abundant number, since it is smaller than the sum of its proper divisors (2645908).

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

2296820 is a wasteful number, since it uses less digits than its factorization.

2296820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2851 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 2296820 is about 1515.5263112200. The cubic root of 2296820 is about 131.9397490563.

The spelling of 2296820 in words is "two million, two hundred ninety-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 2801 5602 11204 14005 28010 56020 114841 229682 459364 574205 1148410 2296820