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2002132220 = 22511194611039
BaseRepresentation
bin111011101010110…
…0001110011111100
312011112100212002012
41313111201303330
513100021212340
6530400350352
7100420562114
oct16725416374
95145325065
102002132220
11938173630
1247a6153b8
1325ba42a2a
1414dc92044
15bab84565
hex77561cfc

2002132220 has 96 divisors (see below), whose sum is σ = 4843238400. Its totient is φ = 687571200.

The previous prime is 2002132199. The next prime is 2002132243. The reversal of 2002132220 is 222312002.

It is a junction number, because it is equal to n+sod(n) for n = 2002132195 and 2002132204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1926461 + ... + 1927499.

It is an arithmetic number, because the mean of its divisors is an integer number (50450400).

Almost surely, 22002132220 is an apocalyptic number.

2002132220 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 2002132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421619200).

2002132220 is an abundant number, since it is smaller than the sum of its proper divisors (2841106180).

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

2002132220 is a wasteful number, since it uses less digits than its factorization.

2002132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2002132220 is about 44745.1921439611. The cubic root of 2002132220 is about 1260.3686290198.

Adding to 2002132220 its reverse (222312002), we get a palindrome (2224444222).

The spelling of 2002132220 in words is "two billion, two million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 461 836 922 1039 1045 1844 2078 2090 2305 4156 4180 4610 5071 5195 8759 9220 10142 10390 11429 17518 19741 20284 20780 22858 25355 35036 39482 43795 45716 50710 57145 78964 87590 96349 98705 101420 114290 175180 192698 197410 217151 228580 385396 394820 434302 478979 481745 868604 957958 963490 1085755 1915916 1926980 2171510 2394895 4343020 4789790 5268769 9100601 9579580 10537538 18201202 21075076 26343845 36402404 45503005 52687690 91006010 100106611 105375380 182012020 200213222 400426444 500533055 1001066110 2002132220