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2002332223300 = 2252417115145553
BaseRepresentation
bin11101001000110100010…
…011010000011101000100
321002102100222100001212211
4131020310103100131010
5230301234022121200
64131505252353204
7264443442034633
oct35106423203504
97072328301784
102002332223300
11702203380762
12284095015804
13116a857ac466
146ccb050951a
1537142b16aba
hex1d2344d0744

2002332223300 has 144 divisors (see below), whose sum is σ = 4543720683264. Its totient is φ = 765273600000.

The previous prime is 2002332223279. The next prime is 2002332223343. The reversal of 2002332223300 is 33222332002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43933324 + ... + 43978876.

It is an arithmetic number, because the mean of its divisors is an integer number (31553615856).

Almost surely, 22002332223300 is an apocalyptic number.

2002332223300 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 2002332223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271860341632).

2002332223300 is an abundant number, since it is smaller than the sum of its proper divisors (2541388459964).

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

2002332223300 is a wasteful number, since it uses less digits than its factorization.

2002332223300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45830 (or 45823 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

Adding to 2002332223300 its reverse (33222332002), we get a palindrome (2035554555302).

The spelling of 2002332223300 in words is "two trillion, two billion, three hundred thirty-two million, two hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 71 82 100 142 151 164 205 284 302 355 410 604 710 755 820 1025 1420 1510 1775 2050 2911 3020 3550 3775 4100 5822 6191 7100 7550 10721 11644 12382 14555 15100 21442 24764 29110 30955 42884 45553 53605 58220 61910 72775 91106 107210 123820 145550 154775 182212 214420 227765 268025 291100 309550 439561 455530 536050 619100 879122 911060 1072100 1138825 1758244 1867673 2197805 2277650 3234263 3735346 4395610 4555300 6468526 6878503 7470692 8791220 9338365 10989025 12937052 13757006 16171315 18676730 21978050 27514012 32342630 34392515 37353460 43956100 46691825 64685260 68785030 80856575 93383650 132604783 137570060 161713150 171962575 186767300 265209566 282018623 323426300 343925150 488373713 530419132 564037246 663023915 687850300 976747426 1128074492 1326047830 1410093115 1953494852 2441868565 2652095660 2820186230 3315119575 4883737130 5640372460 6630239150 7050465575 9767474260 12209342825 13260478300 14100931150 20023322233 24418685650 28201862300 40046644466 48837371300 80093288932 100116611165 200233222330 400466444660 500583055825 1001166111650 2002332223300