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2221170144 = 253140916421
BaseRepresentation
bin1000010001100100…
…0101110111100000
312201210112010121220
42010121011313200
514022104421034
61004223215040
7106020430464
oct20431056740
95653463556
102221170144
11a3a87a006
1251ba47480
1329523457b
14170dcc4a4
15ceeee749
hex84645de0

2221170144 has 48 divisors (see below), whose sum is σ = 5835065040. Its totient is φ = 739819520.

The previous prime is 2221170143. The next prime is 2221170179. The reversal of 2221170144 is 4410711222.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221170143) 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 7 ways as a sum of consecutive naturals, for example, 127054 + ... + 143474.

It is an arithmetic number, because the mean of its divisors is an integer number (121563855).

Almost surely, 22221170144 is an apocalyptic number.

2221170144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2221170144 is an abundant number, since it is smaller than the sum of its proper divisors (3613894896).

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

2221170144 is a wasteful number, since it uses less digits than its factorization.

2221170144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17843 (or 17835 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 2221170144 is about 47129.2917833485. The cubic root of 2221170144 is about 1304.7499105323.

Adding to 2221170144 its reverse (4410711222), we get a palindrome (6631881366).

The spelling of 2221170144 in words is "two billion, two hundred twenty-one million, one hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1409 2818 4227 5636 8454 11272 16421 16908 22544 32842 33816 45088 49263 65684 67632 98526 131368 135264 197052 262736 394104 525472 788208 1576416 23137189 46274378 69411567 92548756 138823134 185097512 277646268 370195024 555292536 740390048 1110585072 2221170144