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2220032 = 213271
BaseRepresentation
bin1000011110000000000000
311011210022102
420132000000
51032020112
6115325532
724604253
oct10360000
94153272
102220032
111286a41
128b08a8
135c9639
1441b09a
152dcbc2
hex21e000

2220032 has 28 divisors (see below), whose sum is σ = 4456176. Its totient is φ = 1105920.

The previous prime is 2220007. The next prime is 2220041. The reversal of 2220032 is 2300222.

It is a junction number, because it is equal to n+sod(n) for n = 2219995 and 2220022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8057 + ... + 8327.

22220032 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 2220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228088).

2220032 is an abundant number, since it is smaller than the sum of its proper divisors (2236144).

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

2220032 is an frugal number, since it uses more digits than its factorization.

2220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 2220032 is about 1489.9771810333. The cubic root of 2220032 is about 130.4527017958.

Adding to 2220032 its reverse (2300222), we get a palindrome (4520254).

The spelling of 2220032 in words is "two million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 271 512 542 1024 1084 2048 2168 4096 4336 8192 8672 17344 34688 69376 138752 277504 555008 1110016 2220032