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2032242210 = 234510124841
BaseRepresentation
bin111100100100001…
…1000111000100010
312020122000121020000
41321020120320202
513130223222320
6533354000430
7101234526255
oct17110307042
95218017200
102032242210
11953169719
12488716116
13265055aab
14153c8d09c
15bd630c90
hex79218e22

2032242210 has 80 divisors (see below), whose sum is σ = 5518799352. Its totient is φ = 536544000.

The previous prime is 2032242209. The next prime is 2032242241. The reversal of 2032242210 is 122422302.

It can be written as a sum of positive squares in 4 ways, for example, as 1674691929 + 357550281 = 40923^2 + 18909^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 69390 + ... + 94230.

Almost surely, 22032242210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032242210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759399676).

2032242210 is an abundant number, since it is smaller than the sum of its proper divisors (3486557142).

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

2032242210 is a wasteful number, since it uses less digits than its factorization.

2032242210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24961 (or 24952 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2032242210 is about 45080.3971810365. The cubic root of 2032242210 is about 1266.6554298018.

Adding to 2032242210 its reverse (122422302), we get a palindrome (2154664512).

The spelling of 2032242210 in words is "two billion, thirty-two million, two hundred forty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 101 135 162 202 270 303 405 505 606 810 909 1010 1515 1818 2727 3030 4545 5454 8181 9090 13635 16362 24841 27270 40905 49682 74523 81810 124205 149046 223569 248410 372615 447138 670707 745230 1117845 1341414 2012121 2235690 2508941 3353535 4024242 5017882 6707070 7526823 10060605 12544705 15053646 20121210 22580469 25089410 37634115 45160938 67741407 75268230 112902345 135482814 203224221 225804690 338707035 406448442 677414070 1016121105 2032242210