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2109224 = 2313171193
BaseRepresentation
bin1000000010111100101000
310222011022102
420002330220
51014443344
6113112532
723633225
oct10027450
93864272
102109224
111210767
12858748
1358b080
143cc94c
152b9e4e
hex202f28

2109224 has 32 divisors (see below), whose sum is σ = 4513320. Its totient is φ = 915456.

The previous prime is 2109223. The next prime is 2109253. The reversal of 2109224 is 4229012.

It can be written as a sum of positive squares in 4 ways, for example, as 1737124 + 372100 = 1318^2 + 610^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2109196 and 2109205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2109223) 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, 1172 + ... + 2364.

22109224 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 2109224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256660).

2109224 is an abundant number, since it is smaller than the sum of its proper divisors (2404096).

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

2109224 is a wasteful number, since it uses less digits than its factorization.

2109224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 2109224 is about 1452.3167698543. The cubic root of 2109224 is about 128.2451357041.

The spelling of 2109224 in words is "two million, one hundred nine thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1193 1768 2386 4772 9544 15509 20281 31018 40562 62036 81124 124072 162248 263653 527306 1054612 2109224