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2210022144 = 2834119689
BaseRepresentation
bin1000001110111010…
…0100001100000000
312201000112202110000
42003232210030000
514011231202034
61003144240000
7105523610151
oct20356441400
95630482400
102210022144
11a34555390
12518170000
13292b30315
1416d729928
15ce04b599
hex83ba4300

2210022144 has 180 divisors, whose sum is σ = 7189708680. Its totient is φ = 669634560.

The previous prime is 2210022047. The next prime is 2210022149. The reversal of 2210022144 is 4412200122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2210022149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 223252 + ... + 232940.

It is an arithmetic number, because the mean of its divisors is an integer number (39942826).

Almost surely, 22210022144 is an apocalyptic number.

2210022144 is a gapful number since it is divisible by the number (24) 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 2210022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594854340).

2210022144 is an abundant number, since it is smaller than the sum of its proper divisors (4979686536).

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

2210022144 is an equidigital number, since it uses as much as digits as its factorization.

2210022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9728 (or 9705 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2210022144 is about 47010.8726147473. The cubic root of 2210022144 is about 1302.5634122160.

Adding to 2210022144 its reverse (4412200122), we get a palindrome (6622222266).

It can be divided in two parts, 22100 and 22144, that added together give a palindrome (44244).

The spelling of 2210022144 in words is "two billion, two hundred ten million, twenty-two thousand, one hundred forty-four".