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2228032 = 26311123
BaseRepresentation
bin1000011111111101000000
311012012021201
420133331000
51032244112
6115430544
724636502
oct10377500
94165251
102228032
111291a54
128b5454
13600181
1441dd72
152e0257
hex21ff40

2228032 has 28 divisors (see below), whose sum is σ = 4567936. Its totient is φ = 1077120.

The previous prime is 2228027. The next prime is 2228053. The reversal of 2228032 is 2308222.

2228032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 3 ways as a sum of consecutive naturals, for example, 1423 + ... + 2545.

22228032 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 2228032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283968).

2228032 is an abundant number, since it is smaller than the sum of its proper divisors (2339904).

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

2228032 is a wasteful number, since it uses less digits than its factorization.

2228032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2228032 is about 1492.6593717255. The cubic root of 2228032 is about 130.6092116324.

The spelling of 2228032 in words is "two million, two hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 992 1123 1984 2246 4492 8984 17968 34813 35936 69626 71872 139252 278504 557008 1114016 2228032