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2220004020 = 2235136134643
BaseRepresentation
bin1000010001010010…
…1001001010110100
312201201022220000010
42010110221022310
514021310112040
61004142220220
7106004502633
oct20424511264
95651286003
102220004020
11a3a152973
1251b584670
13294c16860
14170ba751a
15ced6de80
hex845292b4

2220004020 has 96 divisors (see below), whose sum is σ = 6706530432. Its totient is φ = 545453568.

The previous prime is 2220003991. The next prime is 2220004051. The reversal of 2220004020 is 204000222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2220003987 and 2220004005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 475819 + ... + 480461.

It is an arithmetic number, because the mean of its divisors is an integer number (69859692).

Almost surely, 22220004020 is an apocalyptic number.

2220004020 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 2220004020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3353265216).

2220004020 is an abundant number, since it is smaller than the sum of its proper divisors (4486526412).

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

2220004020 is a wasteful number, since it uses less digits than its factorization.

2220004020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5281 (or 5279 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2220004020 is about 47116.9186174139. The cubic root of 2220004020 is about 1304.5215374334.

Adding to 2220004020 its reverse (204000222), we get a palindrome (2424004242).

The spelling of 2220004020 in words is "two billion, two hundred twenty million, four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 613 780 1226 1839 2452 3065 3678 4643 6130 7356 7969 9195 9286 12260 13929 15938 18390 18572 23215 23907 27858 31876 36780 39845 46430 47814 55716 60359 69645 79690 92860 95628 119535 120718 139290 159380 181077 239070 241436 278580 301795 362154 478140 603590 724308 905385 1207180 1810770 2846159 3621540 5692318 8538477 11384636 14230795 17076954 28461590 34153908 37000067 42692385 56923180 74000134 85384770 111000201 148000268 170769540 185000335 222000402 370000670 444000804 555001005 740001340 1110002010 2220004020