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2001222202032 = 243379191307009
BaseRepresentation
bin11101000111110010001…
…000110111001010110000
321002022111121122010222000
4131013302020313022300
5230242000340431112
64131203201014000
7264404103023214
oct35076210671260
97068447563860
102001222202032
11701793841309
12283a25324300
13116939830341
146cc06d1c944
15370ca4517dc
hex1d1f22372b0

2001222202032 has 160 divisors (see below), whose sum is σ = 5847435264000. Its totient is φ = 655179632640.

The previous prime is 2001222202013. The next prime is 2001222202039. The reversal of 2001222202032 is 2302022221002.

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

It is a junction number, because it is equal to n+sod(n) for n = 2001222201996 and 2001222202014.

It is not an unprimeable number, because it can be changed into a prime (2001222202039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6364944 + ... + 6671952.

It is an arithmetic number, because the mean of its divisors is an integer number (36546470400).

Almost surely, 22001222202032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001222202032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923717632000).

2001222202032 is an abundant number, since it is smaller than the sum of its proper divisors (3846213061968).

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

2001222202032 is a wasteful number, since it uses less digits than its factorization.

2001222202032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307296 (or 307284 counting only the distinct ones).

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

Adding to 2001222202032 its reverse (2302022221002), we get a palindrome (4303244423034).

The spelling of 2001222202032 in words is "two trillion, one billion, two hundred twenty-two million, two hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 108 144 158 191 216 237 316 382 432 474 573 632 711 764 948 1146 1264 1422 1528 1719 1896 2133 2292 2844 3056 3438 3792 4266 4584 5157 5688 6876 8532 9168 10314 11376 13752 15089 17064 20628 27504 30178 34128 41256 45267 60356 82512 90534 120712 135801 181068 241424 271602 307009 362136 407403 543204 614018 724272 814806 921027 1086408 1228036 1629612 1842054 2172816 2456072 2763081 3259224 3684108 4912144 5526162 6518448 7368216 8289243 11052324 14736432 16578486 22104648 24253711 33156972 44209296 48507422 58638719 66313944 72761133 97014844 117277438 132627888 145522266 175916157 194029688 218283399 234554876 291044532 351832314 388059376 436566798 469109752 527748471 582089064 654850197 703664628 873133596 938219504 1055496942 1164178128 1309700394 1407329256 1583245413 1746267192 2110993884 2619400788 2814658512 3166490826 3492534384 4221987768 4632458801 5238801576 6332981652 8443975536 9264917602 10477603152 12665963304 13897376403 18529835204 25331926608 27794752806 37059670408 41692129209 55589505612 74119340816 83384258418 111179011224 125076387627 166768516836 222358022448 250152775254 333537033672 500305550508 667074067344 1000611101016 2001222202032