Search a number
-
+
222011101000 = 23531391918583
BaseRepresentation
bin1100111011000011100…
…1001000111101001000
3210020001100001110200101
43032300321020331020
512114134320213000
6245553540215144
722016433136063
oct3166071107510
9706040043611
10222011101000
118617752a167
123703b09a4b4
1317c21559bb0
14aa615118da
155b95a46e6a
hex33b0e48f48

222011101000 has 128 divisors (see below), whose sum is σ = 560106892800. Its totient is φ = 81879724800.

The previous prime is 222011100947. The next prime is 222011101001. The reversal of 222011101000 is 101110222.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (222011101001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11937709 + ... + 11956291.

It is an arithmetic number, because the mean of its divisors is an integer number (4375835100).

Almost surely, 2222011101000 is an apocalyptic number.

222011101000 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 222011101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280053446400).

222011101000 is an abundant number, since it is smaller than the sum of its proper divisors (338095791800).

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

222011101000 is a wasteful number, since it uses less digits than its factorization.

222011101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19536 (or 19522 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 222011101000 its reverse (101110222), we get a palindrome (222112211222).

The spelling of 222011101000 in words is "two hundred twenty-two billion, eleven million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 919 1000 1300 1625 1838 2600 3250 3676 4595 6500 7352 9190 11947 13000 18380 18583 22975 23894 36760 37166 45950 47788 59735 74332 91900 92915 95576 114875 119470 148664 183800 185830 229750 238940 241579 298675 371660 459500 464575 477880 483158 597350 743320 919000 929150 966316 1194700 1207895 1493375 1858300 1932632 2322875 2389400 2415790 2986750 3716600 4645750 4831580 5973500 6039475 9291500 9663160 11947000 12078950 17077777 18583000 24157900 30197375 34155554 48315800 60394750 68311108 85388885 120789500 136622216 170777770 222011101 241579000 341555540 426944425 444022202 683111080 853888850 888044404 1110055505 1707777700 1776088808 2134722125 2220111010 3415555400 4269444250 4440222020 5550277525 8538888500 8880444040 11100555050 17077777000 22201110100 27751387625 44402220200 55502775250 111005550500 222011101000