Search a number
-
+
2422222000 = 245311234787
BaseRepresentation
bin1001000001100000…
…0010110010110000
320020210211121220221
42100120002302300
514430042101000
61040204342424
7114011355502
oct22030026260
96223747827
102422222000
111033310270
12577244a14
132c7a99573
1418d9a5d72
15e29b561a
hex90602cb0

2422222000 has 160 divisors (see below), whose sum is σ = 6668573184. Its totient is φ = 842336000.

The previous prime is 2422221961. The next prime is 2422222021. The reversal of 2422222000 is 2222242.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 503607 + ... + 508393.

Almost surely, 22422222000 is an apocalyptic number.

2422222000 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 2422222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3334286592).

2422222000 is an abundant number, since it is smaller than the sum of its proper divisors (4246351184).

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

2422222000 is a wasteful number, since it uses less digits than its factorization.

2422222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4844 (or 4828 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2422222000 is about 49216.0746098264. The cubic root of 2422222000 is about 1342.9854724413.

Adding to 2422222000 its reverse (2222242), we get a palindrome (2424444242).

It can be divided in two parts, 2422 and 222000, that added together give a palindrome (224422).

The spelling of 2422222000 in words is "two billion, four hundred twenty-two million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 25 40 44 46 50 55 80 88 92 100 110 115 125 176 184 200 220 230 250 253 275 368 400 440 460 500 506 550 575 880 920 1000 1012 1100 1150 1265 1375 1840 2000 2024 2200 2300 2530 2750 2875 4048 4400 4600 4787 5060 5500 5750 6325 9200 9574 10120 11000 11500 12650 19148 20240 22000 23000 23935 25300 31625 38296 46000 47870 50600 52657 63250 76592 95740 101200 105314 110101 119675 126500 191480 210628 220202 239350 253000 263285 382960 421256 440404 478700 506000 526570 550505 598375 842512 880808 957400 1053140 1101010 1196750 1211111 1316425 1761616 1914800 2106280 2202020 2393500 2422222 2632850 2752525 4212560 4404040 4787000 4844444 5265700 5505050 6055555 6582125 8808080 9574000 9688888 10531400 11010100 12111110 13164250 13762625 19377776 21062800 22020200 24222220 26328500 27525250 30277775 44040400 48444440 52657000 55050500 60555550 96888880 105314000 110101000 121111100 151388875 220202000 242222200 302777750 484444400 605555500 1211111000 2422222000