Search a number
-
+
2206432 = 25192191
BaseRepresentation
bin1000011010101011100000
311011002122201
420122223200
51031101212
6115142544
724516514
oct10325340
94132581
102206432
1112777a8
128a4a54
135c33a7
14416144
152d8b57
hex21aae0

2206432 has 36 divisors (see below), whose sum is σ = 4608576. Its totient is φ = 1039680.

The previous prime is 2206429. The next prime is 2206439. The reversal of 2206432 is 2346022.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2206439) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11457 + ... + 11647.

It is an arithmetic number, because the mean of its divisors is an integer number (128016).

22206432 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 2206432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304288).

2206432 is an abundant number, since it is smaller than the sum of its proper divisors (2402144).

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

2206432 is a wasteful number, since it uses less digits than its factorization.

2206432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2206432 is about 1485.4063417126. The cubic root of 2206432 is about 130.1857699114.

The spelling of 2206432 in words is "two million, two hundred six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 191 304 361 382 608 722 764 1444 1528 2888 3056 3629 5776 6112 7258 11552 14516 29032 58064 68951 116128 137902 275804 551608 1103216 2206432