Search a number
-
+
220506608 = 2479720297
BaseRepresentation
bin11010010010010…
…10100111110000
3120100220220012102
431021022213300
5422422202413
633514115532
75315163260
oct1511124760
9510826172
10220506608
11103519973
1261a1bba8
13368b71aa
14213dd7a0
151455a458
hexd24a9f0

220506608 has 40 divisors (see below), whose sum is σ = 493322592. Its totient is φ = 93523968.

The previous prime is 220506607. The next prime is 220506679. The reversal of 220506608 is 806605022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220506607) 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 7 ways as a sum of consecutive naturals, for example, 716 + ... + 21012.

Almost surely, 2220506608 is an apocalyptic number.

220506608 is a gapful number since it is divisible by the number (28) 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 220506608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246661296).

220506608 is an abundant number, since it is smaller than the sum of its proper divisors (272815984).

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

220506608 is a wasteful number, since it uses less digits than its factorization.

220506608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20409 (or 20403 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 220506608 is about 14849.4649061843. The cubic root of 220506608 is about 604.1440967254.

The spelling of 220506608 in words is "two hundred twenty million, five hundred six thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 56 97 112 194 388 679 776 1358 1552 2716 5432 10864 20297 40594 81188 142079 162376 284158 324752 568316 1136632 1968809 2273264 3937618 7875236 13781663 15750472 27563326 31500944 55126652 110253304 220506608