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2219173334144 = 27131333637821
BaseRepresentation
bin100000010010110001000…
…010011100110010000000
321212011002000010211100022
4200102301002130302000
5242324331333143034
64415250230113012
7316221120051314
oct40226102346200
97764060124308
102219173334144
11786167547788
122ba1107ab768
13131361bcca80
14795a1149b44
153cad4829b2e
hex204b109cc80

2219173334144 has 32 divisors (see below), whose sum is σ = 4761087024540. Its totient is φ = 1024233845760.

The previous prime is 2219173334111. The next prime is 2219173334149. The reversal of 2219173334144 is 4414333719122.

It can be written as a sum of positive squares in 2 ways, for example, as 2151760404544 + 67412929600 = 1466888^2 + 259640^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 2219173334095 and 2219173334104.

It is not an unprimeable number, because it can be changed into a prime (2219173334149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 666817247 + ... + 666820574.

Almost surely, 22219173334144 is an apocalyptic number.

It is an amenable number.

2219173334144 is an abundant number, since it is smaller than the sum of its proper divisors (2541913690396).

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

2219173334144 is a wasteful number, since it uses less digits than its factorization.

2219173334144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333637848 (or 1333637836 counting only the distinct ones).

The product of its digits is 435456, while the sum is 44.

The spelling of 2219173334144 in words is "two trillion, two hundred nineteen billion, one hundred seventy-three million, three hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 1333637821 2667275642 5334551284 10669102568 17337291673 21338205136 34674583346 42676410272 69349166692 85352820544 138698333384 170705641088 277396666768 554793333536 1109586667072 2219173334144