Search a number
-
+
222442000 = 24531110111
BaseRepresentation
bin11010100001000…
…11001000010000
3120111120020001121
431100203020100
5423421121000
634023412024
75340503644
oct1520431020
9514506047
10222442000
11104620a70
12625b4014
13371140b1
1421784c24
15147ddb1a
hexd423210

222442000 has 80 divisors (see below), whose sum is σ = 586819584. Its totient is φ = 80880000.

The previous prime is 222441971. The next prime is 222442027. The reversal of 222442000 is 244222.

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 (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16945 + ... + 27055.

Almost surely, 2222442000 is an apocalyptic number.

222442000 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 222442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293409792).

222442000 is an abundant number, since it is smaller than the sum of its proper divisors (364377584).

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

222442000 is a wasteful number, since it uses less digits than its factorization.

222442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10145 (or 10129 counting only the distinct ones).

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

The square root of 222442000 is about 14914.4895990443. The cubic root of 222442000 is about 605.9064798482.

Adding to 222442000 its reverse (244222), we get a palindrome (222686222).

The spelling of 222442000 in words is "two hundred twenty-two million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 10111 11000 20222 22000 40444 50555 80888 101110 111221 161776 202220 222442 252775 404440 444884 505550 556105 808880 889768 1011100 1112210 1263875 1779536 2022200 2224420 2527750 2780525 4044400 4448840 5055500 5561050 8897680 10111000 11122100 13902625 20222000 22244200 27805250 44488400 55610500 111221000 222442000