Search a number
-
+
222541000 = 23531120231
BaseRepresentation
bin11010100001110…
…11010011001000
3120111202020212021
431100323103020
5423432303000
634025454224
75341365403
oct1520732310
9514666767
10222541000
11104689390
1262641374
133714a186
14217acd3a
151480d11a
hexd43b4c8

222541000 has 64 divisors (see below), whose sum is σ = 568114560. Its totient is φ = 80920000.

The previous prime is 222540991. The next prime is 222541003. The reversal of 222541000 is 145222.

It is not an unprimeable number, because it can be changed into a prime (222541003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 885 + ... + 21115.

It is an arithmetic number, because the mean of its divisors is an integer number (8876790).

Almost surely, 2222541000 is an apocalyptic number.

222541000 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 222541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284057280).

222541000 is an abundant number, since it is smaller than the sum of its proper divisors (345573560).

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

222541000 is a wasteful number, since it uses less digits than its factorization.

222541000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20263 (or 20249 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 222541000 is about 14917.8081499931. The cubic root of 222541000 is about 605.9963547291.

Adding to 222541000 its reverse (145222), we get a palindrome (222686222).

The spelling of 222541000 in words is "two hundred twenty-two million, five hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 20231 40462 80924 101155 161848 202310 222541 404620 445082 505775 809240 890164 1011550 1112705 1780328 2023100 2225410 2528875 4046200 4450820 5057750 5563525 8901640 10115500 11127050 20231000 22254100 27817625 44508200 55635250 111270500 222541000