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4002200022004 = 223041329020061
BaseRepresentation
bin111010001111010101101…
…101011110101111110100
3112011121101012102101202121
4322033111231132233310
51011033001201201004
612302330232045324
7562102150613332
oct72172555365764
915147335371677
104002200022004
111303361636778
125477a0833844
132305378370c2
14db9c95c4b52
156e18e1cd854
hex3a3d5b5ebf4

4002200022004 has 12 divisors (see below), whose sum is σ = 7006153200228. Its totient is φ = 2000441964800.

The previous prime is 4002200022001. The next prime is 4002200022049.

4002200022004 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 1775151193104 + 2227048828900 = 1332348^2 + 1492330^2 .

It is a super-2 number, since 2×40022000220042 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002200022001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 164497867 + ... + 164522194.

It is an arithmetic number, because the mean of its divisors is an integer number (583846100019).

Almost surely, 24002200022004 is an apocalyptic number.

It is an amenable number.

4002200022004 is a deficient number, since it is larger than the sum of its proper divisors (3003953178224).

4002200022004 is a wasteful number, since it uses less digits than its factorization.

4002200022004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329023106 (or 329023104 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

It can be divided in two parts, 40022000 and 22004, that added together give a palindrome (40044004).

The spelling of 4002200022004 in words is "four trillion, two billion, two hundred million, twenty-two thousand, four".

Divisors: 1 2 4 3041 6082 12164 329020061 658040122 1316080244 1000550005501 2001100011002 4002200022004