Search a number
-
+
221983056 = 243210714407
BaseRepresentation
bin11010011101100…
…11000101010000
3120110200220111200
431032303011100
5423311424211
634005511200
75333552631
oct1516630520
9513626450
10221983056
11104338179
1262412500
1336cb3229
14216a5888
151474cb56
hexd3b3150

221983056 has 60 divisors (see below), whose sum is σ = 627093792. Its totient is φ = 73297728.

The previous prime is 221983039. The next prime is 221983057. The reversal of 221983056 is 650389122.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 221983056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221983057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8205 + ... + 22611.

Almost surely, 2221983056 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 221983056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313546896).

221983056 is an abundant number, since it is smaller than the sum of its proper divisors (405110736).

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

221983056 is a wasteful number, since it uses less digits than its factorization.

221983056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14528 (or 14519 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 221983056 is about 14899.0958114914. The cubic root of 221983056 is about 605.4894893419.

The spelling of 221983056 in words is "two hundred twenty-one million, nine hundred eighty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 144 214 321 428 642 856 963 1284 1712 1926 2568 3852 5136 7704 14407 15408 28814 43221 57628 86442 115256 129663 172884 230512 259326 345768 518652 691536 1037304 1541549 2074608 3083098 4624647 6166196 9249294 12332392 13873941 18498588 24664784 27747882 36997176 55495764 73994352 110991528 221983056