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2420302300220 = 2257412897145549
BaseRepresentation
bin100011001110000101010…
…000100100010000111100
322120101020000202221011002
4203032011100210100330
5304123234342101340
65051512125545432
7336601230052520
oct43160520442074
98511200687132
102420302300220
118534986078a2
123310a2415278
131473060a20bc
1485201149d80
1542e56e57715
hex2338542443c

2420302300220 has 96 divisors (see below), whose sum is σ = 5952496636800. Its totient is φ = 809293455360.

The previous prime is 2420302300201. The next prime is 2420302300223. The reversal of 2420302300220 is 220032030242.

It is a super-3 number, since 3×24203023002203 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2420302300192 and 2420302300201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420302300223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16556006 + ... + 16701554.

It is an arithmetic number, because the mean of its divisors is an integer number (62005173300).

Almost surely, 22420302300220 is an apocalyptic number.

2420302300220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2420302300220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976248318400).

2420302300220 is an abundant number, since it is smaller than the sum of its proper divisors (3532194336580).

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

2420302300220 is a wasteful number, since it uses less digits than its factorization.

2420302300220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148503 (or 148501 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 2420302300220 its reverse (220032030242), we get a palindrome (2640334330462).

The spelling of 2420302300220 in words is "two trillion, four hundred twenty billion, three hundred two million, three hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1148 1435 2870 2897 5740 5794 11588 14485 20279 28970 40558 57940 81116 101395 118777 145549 202790 237554 291098 405580 475108 582196 593885 727745 831439 1018843 1187770 1455490 1662878 2037686 2375540 2910980 3325756 4075372 4157195 5094215 5967509 8314390 10188430 11935018 16628780 20376860 23870036 29837545 41772563 59675090 83545126 119350180 167090252 208862815 417725630 421655453 835451260 843310906 1686621812 2108277265 2951588171 4216554530 5903176342 8433109060 11806352684 14757940855 17287873573 29515881710 34575747146 59031763420 69151494292 86439367865 121015115011 172878735730 242030230022 345757471460 484060460044 605075575055 1210151150110 2420302300220