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224130003120 = 24325311291671
BaseRepresentation
bin1101000010111100110…
…0000111000010110000
3210102112000010211221200
43100233030013002300
512133004240044440
6250544111451200
722123102410222
oct3205714070260
9712460124850
10224130003120
11870645a8741
1237530826b00
131819b53552a
14abc2abc412
155c6ba94c30
hex342f3070b0

224130003120 has 60 divisors (see below), whose sum is σ = 752703262896. Its totient is φ = 59768000640.

The previous prime is 224130003101. The next prime is 224130003151. The reversal of 224130003120 is 21300031422.

224130003120 is a `hidden beast` number, since 2 + 241 + 300 + 0 + 3 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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 = 224130003093 and 224130003102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155645116 + ... + 155646555.

Almost surely, 2224130003120 is an apocalyptic number.

224130003120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224130003120 is an abundant number, since it is smaller than the sum of its proper divisors (528573259776).

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

224130003120 is a wasteful number, since it uses less digits than its factorization.

224130003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311291690 (or 311291681 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 224130003120 its reverse (21300031422), we get a palindrome (245430034542).

The spelling of 224130003120 in words is "two hundred twenty-four billion, one hundred thirty million, three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 311291671 622583342 933875013 1245166684 1556458355 1867750026 2490333368 2801625039 3112916710 3735500052 4669375065 4980666736 5603250078 6225833420 7471000104 9338750130 11206500156 12451666840 14008125195 14942000208 18677500260 22413000312 24903333680 28016250390 37355000520 44826000624 56032500780 74710001040 112065001560 224130003120