Search a number
-
+
2220001020 = 223457119301
BaseRepresentation
bin1000010001010010…
…1000011011111100
312201201022201220000
42010110220123330
514021310013040
61004142154300
7106004461116
oct20424503374
95651281800
102220001020
11a3a150696
1251b582990
13294c15393
14170ba63b6
15ced6d130
hex845286fc

2220001020 has 120 divisors (see below), whose sum is σ = 7062679008. Its totient is φ = 583632000.

The previous prime is 2220001013. The next prime is 2220001031. The reversal of 2220001020 is 201000222.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2220000993 and 2220001011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 105370 + ... + 124670.

Almost surely, 22220001020 is an apocalyptic number.

2220001020 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 2220001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3531339504).

2220001020 is an abundant number, since it is smaller than the sum of its proper divisors (4842677988).

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

2220001020 is a wasteful number, since it uses less digits than its factorization.

2220001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19393 (or 19382 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2220001020 is about 47116.8867817049. The cubic root of 2220001020 is about 1304.5209498119.

Adding to 2220001020 its reverse (201000222), we get a palindrome (2421001242).

The spelling of 2220001020 in words is "two billion, two hundred twenty million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 71 81 90 108 135 142 162 180 213 270 284 324 355 405 426 540 639 710 810 852 1065 1278 1420 1620 1917 2130 2556 3195 3834 4260 5751 6390 7668 9585 11502 12780 19170 19301 23004 28755 38340 38602 57510 57903 77204 96505 115020 115806 173709 193010 231612 289515 347418 386020 521127 579030 694836 868545 1042254 1158060 1370371 1563381 1737090 2084508 2605635 2740742 3126762 3474180 4111113 5211270 5481484 6253524 6851855 7816905 8222226 10422540 12333339 13703710 15633810 16444452 20555565 24666678 27407420 31267620 37000017 41111130 49333356 61666695 74000034 82222260 111000051 123333390 148000068 185000085 222000102 246666780 370000170 444000204 555000255 740000340 1110000510 2220001020