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224421032 = 231115116889
BaseRepresentation
bin11010110000001…
…10010010101000
3120122021202210002
431120012102220
5424422433112
634134042132
75363355503
oct1530062250
9518252702
10224421032
11105752930
12631a9348
1337657b14
1421b3c13a
1514a801c2
hexd6064a8

224421032 has 32 divisors (see below), whose sum is σ = 462110400. Its totient is φ = 101328000.

The previous prime is 224421019. The next prime is 224421037. The reversal of 224421032 is 230124422.

It is a junction number, because it is equal to n+sod(n) for n = 224420995 and 224421013.

It is not an unprimeable number, because it can be changed into a prime (224421037) by changing a digit.

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, 4844 + ... + 21732.

It is an arithmetic number, because the mean of its divisors is an integer number (14440950).

Almost surely, 2224421032 is an apocalyptic number.

224421032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224421032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231055200).

224421032 is an abundant number, since it is smaller than the sum of its proper divisors (237689368).

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

224421032 is a wasteful number, since it uses less digits than its factorization.

224421032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17057 (or 17053 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 224421032 is about 14980.6886357070. The cubic root of 224421032 is about 607.6980625111.

Adding to 224421032 its reverse (230124422), we get a palindrome (454545454).

The spelling of 224421032 in words is "two hundred twenty-four million, four hundred twenty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 151 302 604 1208 1661 3322 6644 13288 16889 33778 67556 135112 185779 371558 743116 1486232 2550239 5100478 10200956 20401912 28052629 56105258 112210516 224421032