Search a number
-
+
220937248 = 2573131817
BaseRepresentation
bin11010010101100…
…11110000100000
3120101201202221001
431022303300200
5423024442443
633531241344
75321635630
oct1512636040
9511652831
10220937248
11103793474
1261ba9254
1336a081cc
14214b26c0
15145e2d4d
hexd2b3c20

220937248 has 48 divisors (see below), whose sum is σ = 513160704. Its totient is φ = 91630080.

The previous prime is 220937243. The next prime is 220937281. The reversal of 220937248 is 842739022.

220937248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (220937243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8965 + ... + 22852.

It is an arithmetic number, because the mean of its divisors is an integer number (10690848).

Almost surely, 2220937248 is an apocalyptic number.

220937248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

220937248 is an abundant number, since it is smaller than the sum of its proper divisors (292223456).

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

220937248 is a wasteful number, since it uses less digits than its factorization.

220937248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31865 (or 31857 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 220937248 is about 14863.9580193164. The cubic root of 220937248 is about 604.5371301944.

The spelling of 220937248 in words is "two hundred twenty million, nine hundred thirty-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 6944 31817 63634 127268 222719 254536 445438 509072 890876 986327 1018144 1781752 1972654 3563504 3945308 6904289 7127008 7890616 13808578 15781232 27617156 31562464 55234312 110468624 220937248