Search a number
-
+
1000022220 = 223357126083
BaseRepresentation
bin111011100110110…
…010000011001100
32120200201101121000
4323212302003030
54022001202340
6243121540300
733532022451
oct7346620314
92520641530
101000022220
1147353954a
1223aaa4690
1312c247332
1496b55828
155cbd7d30
hex3b9b20cc

1000022220 has 96 divisors (see below), whose sum is σ = 3155120640. Its totient is φ = 262906560.

The previous prime is 1000022213. The next prime is 1000022237. The reversal of 1000022220 is 222200001.

1000022220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 25299 + ... + 51381.

It is an arithmetic number, because the mean of its divisors is an integer number (32865840).

Almost surely, 21000022220 is an apocalyptic number.

1000022220 is a gapful number since it is divisible by the number (10) 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 1000022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577560320).

1000022220 is an abundant number, since it is smaller than the sum of its proper divisors (2155098420).

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

1000022220 is a wasteful number, since it uses less digits than its factorization.

1000022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26172 (or 26164 counting only the distinct ones).

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

The square root of 1000022220 is about 31623.1279287802. The cubic root of 1000022220 is about 1000.0074066118.

Adding to 1000022220 its reverse (222200001), we get a palindrome (1222222221).

The spelling of 1000022220 in words is "one billion, twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 71 90 108 135 142 180 213 270 284 355 426 540 639 710 852 1065 1278 1420 1917 2130 2556 3195 3834 4260 6390 7668 9585 12780 19170 26083 38340 52166 78249 104332 130415 156498 234747 260830 312996 391245 469494 521660 704241 782490 938988 1173735 1408482 1564980 1851893 2347470 2816964 3521205 3703786 4694940 5555679 7042410 7407572 9259465 11111358 14084820 16667037 18518930 22222716 27778395 33334074 37037860 50001111 55556790 66668148 83335185 100002222 111113580 166670370 200004444 250005555 333340740 500011110 1000022220