Search a number
-
+
220337480 = 23511571877
BaseRepresentation
bin11010010001000…
…01010101001000
3120100121022012102
431020201111020
5422401244410
633510332532
75313560216
oct1510412510
9510538172
10220337480
111034138a0
126195a148
133685820c
1421397cb6
15145252a5
hexd221548

220337480 has 64 divisors (see below), whose sum is σ = 542393280. Its totient is φ = 79891200.

The previous prime is 220337477. The next prime is 220337489. The reversal of 220337480 is 84733022.

220337480 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 (220337489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250802 + ... + 251678.

It is an arithmetic number, because the mean of its divisors is an integer number (8474895).

Almost surely, 2220337480 is an apocalyptic number.

220337480 is a gapful number since it is divisible by the number (20) 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 220337480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271196640).

220337480 is an abundant number, since it is smaller than the sum of its proper divisors (322055800).

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

220337480 is a wasteful number, since it uses less digits than its factorization.

220337480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 220337480 is about 14843.7690631457. The cubic root of 220337480 is about 603.9895982303.

The spelling of 220337480 in words is "two hundred twenty million, three hundred thirty-seven thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 571 877 1142 1754 2284 2855 3508 4385 4568 5710 6281 7016 8770 9647 11420 12562 17540 19294 22840 25124 31405 35080 38588 48235 50248 62810 77176 96470 125620 192940 251240 385880 500767 1001534 2003068 2503835 4006136 5007670 5508437 10015340 11016874 20030680 22033748 27542185 44067496 55084370 110168740 220337480