Search a number
-
+
222201000 = 23325373527
BaseRepresentation
bin11010011111010…
…00010010101000
3120111002222110200
431033220102220
5423340413000
634014312200
75335451220
oct1517502250
9514088420
10222201000
1110447699a
12624b8660
133705b4a8
1421721080
1514792500
hexd3e84a8

222201000 has 192 divisors, whose sum is σ = 858574080. Its totient is φ = 50774400.

The previous prime is 222200989. The next prime is 222201019. The reversal of 222201000 is 102222.

222201000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 61237 + ... + 64763.

It is an arithmetic number, because the mean of its divisors is an integer number (4471740).

Almost surely, 2222201000 is an apocalyptic number.

222201000 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 222201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429287040).

222201000 is an abundant number, since it is smaller than the sum of its proper divisors (636373080).

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

222201000 is a wasteful number, since it uses less digits than its factorization.

222201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3561 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 222201000 is about 14906.4080180304. The cubic root of 222201000 is about 605.6875819950.

Adding to 222201000 its reverse (102222), we get a palindrome (222303222).

It can be divided in two parts, 22220 and 1000, that added together give a triangular number (23220 = T215).

The spelling of 222201000 in words is "two hundred twenty-two million, two hundred one thousand".