Search a number
-
+
222022000 = 2453313581
BaseRepresentation
bin11010011101111…
…00100101110000
3120110202212221001
431032330211300
5423314201000
634010411344
75334104314
oct1516744560
9513685831
10222022000
11104364462
1262430b54
1336cc7b85
14216b5b44
151475946a
hexd3bc970

222022000 has 80 divisors (see below), whose sum is σ = 554321664. Its totient is φ = 85920000.

The previous prime is 222021997. The next prime is 222022001. The reversal of 222022000 is 220222.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222022001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60210 + ... + 63790.

Almost surely, 2222022000 is an apocalyptic number.

222022000 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 222022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277160832).

222022000 is an abundant number, since it is smaller than the sum of its proper divisors (332299664).

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

222022000 is a wasteful number, since it uses less digits than its factorization.

222022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3635 (or 3619 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 222022000 is about 14900.4026791225. The cubic root of 222022000 is about 605.5248956536.

Adding to 222022000 its reverse (220222), we get a palindrome (222242222).

The spelling of 222022000 in words is "two hundred twenty-two million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 775 1000 1240 1550 2000 2480 3100 3581 3875 6200 7162 7750 12400 14324 15500 17905 28648 31000 35810 57296 62000 71620 89525 111011 143240 179050 222022 286480 358100 444044 447625 555055 716200 888088 895250 1110110 1432400 1776176 1790500 2220220 2775275 3581000 4440440 5550550 7162000 8880880 11101100 13876375 22202200 27752750 44404400 55505500 111011000 222022000