Search a number
-
+
224035712 = 2710316993
BaseRepresentation
bin11010101101010…
…00001110000000
3120121120012012222
431112220032000
5424323120322
634121510212
75360162225
oct1526501600
9517505188
10224035712
1110550a38a
1263042368
1337551614
1421a7b94c
1514a05e42
hexd5a8380

224035712 has 32 divisors (see below), whose sum is σ = 450680880. Its totient is φ = 110923776.

The previous prime is 224035627. The next prime is 224035727. The reversal of 224035712 is 217530422.

It is a tau number, because it is divible by the number of its divisors (32).

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, 4688 + ... + 21680.

Almost surely, 2224035712 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 224035712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225340440).

224035712 is an abundant number, since it is smaller than the sum of its proper divisors (226645168).

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

224035712 is a wasteful number, since it uses less digits than its factorization.

224035712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17110 (or 17098 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 224035712 is about 14967.8225537317. The cubic root of 224035712 is about 607.3500672629.

The spelling of 224035712 in words is "two hundred twenty-four million, thirty-five thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 64 103 128 206 412 824 1648 3296 6592 13184 16993 33986 67972 135944 271888 543776 1087552 1750279 2175104 3500558 7001116 14002232 28004464 56008928 112017856 224035712