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2201122222002 = 23211231370935257
BaseRepresentation
bin100000000001111101000…
…110111010111110110010
321210102110222210022122100
4200001331012322332302
5242030344242101002
64403103120121230
7315011601120234
oct40017506727662
97712428708570
102201122222002
11779544124a90
122b6713466216
1312c746214b22
147876ba16254
153c3c9c2711c
hex2007d1bafb2

2201122222002 has 96 divisors (see below), whose sum is σ = 5429404805760. Its totient is φ = 637941807360.

The previous prime is 2201122221983. The next prime is 2201122222003. The reversal of 2201122222002 is 2002222211022.

2201122222002 is a `hidden beast` number, since 220 + 1 + 1 + 222 + 220 + 0 + 2 = 666.

2201122222002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2201122222003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62413158 + ... + 62448414.

It is an arithmetic number, because the mean of its divisors is an integer number (56556300060).

Almost surely, 22201122222002 is an apocalyptic number.

2201122222002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2201122222002 is an abundant number, since it is smaller than the sum of its proper divisors (3228282583758).

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

2201122222002 is a wasteful number, since it uses less digits than its factorization.

2201122222002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49008 (or 49005 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2201122222002 its reverse (2002222211022), we get a palindrome (4203344433024).

The spelling of 2201122222002 in words is "two trillion, two hundred one billion, one hundred twenty-two million, two hundred twenty-two thousand, two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 759 1518 2277 4554 13709 27418 35257 41127 70514 82254 105771 123381 150799 211542 246762 301598 315307 317313 387827 452397 630614 634626 775654 810911 904794 945921 1163481 1357191 1621822 1891842 2326962 2432733 2714382 2837763 3468377 3490443 4865466 5675526 6936754 6980886 7298199 8920021 10405131 14596398 17840042 20810262 26760063 31215393 53520126 62430786 80280189 160560378 483338213 966676426 1450014639 2900029278 4350043917 5316720343 8700087834 10633440686 11116778899 15950161029 22233557798 31900322058 33350336697 47850483087 66700673394 95700966174 100051010091 122284567889 200102020182 244569135778 366853703667 733707407334 1100561111001 2201122222002