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4224022204224 = 26322000115647
BaseRepresentation
bin111101011101111011010…
…101111100111101000000
3112221210221100222210121010
4331131323111330331000
51023201244141013344
612552253343200520
7614114131220004
oct75357325747500
915853840883533
104224022204224
111389441461409
125827885a6140
13248428bb9724
1410862d99a704
1574d233598b9
hex3d77b57cf40

4224022204224 has 28 divisors (see below), whose sum is σ = 11176058749184. Its totient is φ = 1408007401344.

The previous prime is 4224022204163. The next prime is 4224022204253.

4224022204224 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×42240222042243 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4224022204191 and 4224022204200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11000057632 + ... + 11000058015.

It is an arithmetic number, because the mean of its divisors is an integer number (399144955328).

Almost surely, 24224022204224 is an apocalyptic number.

It is an amenable number.

4224022204224 is an abundant number, since it is smaller than the sum of its proper divisors (6952036544960).

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

4224022204224 is a wasteful number, since it uses less digits than its factorization.

4224022204224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22000115662 (or 22000115652 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

The spelling of 4224022204224 in words is "four trillion, two hundred twenty-four billion, twenty-two million, two hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 22000115647 44000231294 66000346941 88000462588 132000693882 176000925176 264001387764 352001850352 528002775528 704003700704 1056005551056 1408007401408 2112011102112 4224022204224