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220089640 = 23541672003
BaseRepresentation
bin11010001111001…
…00110100101000
3120100010201020011
431013210310220
5422320332030
633501141304
75311505521
oct1507446450
9510121204
10220089640
11103264671
126185a834
133679c474
1421331848
15144c6b2a
hexd1e4d28

220089640 has 64 divisors (see below), whose sum is σ = 515108160. Its totient is φ = 84564480.

The previous prime is 220089637. The next prime is 220089643. The reversal of 220089640 is 46980022.

It is an interprime number because it is at equal distance from previous prime (220089637) and next prime (220089643).

It is not an unprimeable number, because it can be changed into a prime (220089643) 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 15 ways as a sum of consecutive naturals, for example, 108879 + ... + 110881.

It is an arithmetic number, because the mean of its divisors is an integer number (8048565).

Almost surely, 2220089640 is an apocalyptic number.

220089640 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 220089640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257554080).

220089640 is an abundant number, since it is smaller than the sum of its proper divisors (295018520).

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

220089640 is a wasteful number, since it uses less digits than its factorization.

220089640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 220089640 is about 14835.4184302297. The cubic root of 220089640 is about 603.7630534123.

The spelling of 220089640 in words is "two hundred twenty million, eighty-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 67 82 134 164 205 268 328 335 410 536 670 820 1340 1640 2003 2680 2747 4006 5494 8012 10015 10988 13735 16024 20030 21976 27470 40060 54940 80120 82123 109880 134201 164246 268402 328492 410615 536804 656984 671005 821230 1073608 1342010 1642460 2684020 3284920 5368040 5502241 11004482 22008964 27511205 44017928 55022410 110044820 220089640