Search a number
-
+
3020144000220 = 2232519883083041
BaseRepresentation
bin101011111100101110100…
…111000011110011011100
3101200201112000202111212100
4223330232213003303130
5343440223331001340
610231233543205100
7431124661301514
oct53745647036334
911621460674770
103020144000220
11a6492160a246
124093a8146790
1318ba4bcb5869
14a6266384844
1553862e56830
hex2bf2e9c3cdc

3020144000220 has 72 divisors (see below), whose sum is σ = 9643266818640. Its totient is φ = 762983746560.

The previous prime is 3020144000219. The next prime is 3020144000227. The reversal of 3020144000220 is 220004410203.

3020144000220 is a `hidden beast` number, since 3 + 0 + 2 + 0 + 1 + 440 + 0 + 0 + 220 = 666.

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 = 3020144000193 and 3020144000202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3020144000227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441538101 + ... + 441544940.

It is an arithmetic number, because the mean of its divisors is an integer number (133934261370).

Almost surely, 23020144000220 is an apocalyptic number.

3020144000220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3020144000220 is an abundant number, since it is smaller than the sum of its proper divisors (6623122818420).

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

3020144000220 is a wasteful number, since it uses less digits than its factorization.

3020144000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883083075 (or 883083070 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 3020144000220 its reverse (220004410203), we get a palindrome (3240148410423).

The spelling of 3020144000220 in words is "three trillion, twenty billion, one hundred forty-four million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 883083041 1766166082 2649249123 3532332164 4415415205 5298498246 7947747369 8830830410 10596996492 13246245615 15895494738 16778577779 17661660820 26492491230 31790989476 33557155558 39738736845 50335733337 52984982460 67114311116 79477473690 83892888895 100671466674 151007200011 158954947380 167785777790 201342933348 251678666685 302014400022 335571555580 503357333370 604028800044 755036000055 1006714666740 1510072000110 3020144000220