[go: up one dir, main page]

Search a number
-
+
2212021020 = 22351116092083
BaseRepresentation
bin1000001111011000…
…1100001100011100
312201011022022101110
42003312030030130
514012234133040
61003255142020
7105546603606
oct20366141434
95634268343
102212021020
11a356a0150
12518974910
132933800a1
1416daca176
15ce2e3980
hex83d8c31c

2212021020 has 96 divisors (see below), whose sum is σ = 6764163840. Its totient is φ = 535656960.

The previous prime is 2212020973. The next prime is 2212021087. The reversal of 2212021020 is 201202122.

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 = 2212020987 and 2212021005.

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, 1060899 + ... + 1062981.

It is an arithmetic number, because the mean of its divisors is an integer number (70460040).

Almost surely, 22212021020 is an apocalyptic number.

2212021020 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 2212021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3382081920).

2212021020 is an abundant number, since it is smaller than the sum of its proper divisors (4552142820).

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

2212021020 is a wasteful number, since it uses less digits than its factorization.

2212021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3715 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2212021020 is about 47032.1275300193. The cubic root of 2212021020 is about 1302.9559992579.

Adding to 2212021020 its reverse (201202122), we get a palindrome (2413223142).

It can be divided in two parts, 221202 and 1020, that added together give a palindrome (222222).

The spelling of 2212021020 in words is "two billion, two hundred twelve million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1609 2083 3218 4166 4827 6249 6436 8045 8332 9654 10415 12498 16090 17699 19308 20830 22913 24135 24996 31245 32180 35398 41660 45826 48270 53097 62490 68739 70796 88495 91652 96540 106194 114565 124980 137478 176990 212388 229130 265485 274956 343695 353980 458260 530970 687390 1061940 1374780 3351547 6703094 10054641 13406188 16757735 20109282 33515470 36867017 40218564 50273205 67030940 73734034 100546410 110601051 147468068 184335085 201092820 221202102 368670170 442404204 553005255 737340340 1106010510 2212021020