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2144302240 = 25531716089
BaseRepresentation
bin111111111001111…
…0111010010100000
312112102212211200111
41333303313102200
513342420132430
6552435501104
7104065161013
oct17763672240
95472784614
102144302240
11a00448013
124ba157794
1328232c9c2
14164add37a
15c83b8c2a
hex7fcf74a0

2144302240 has 96 divisors (see below), whose sum is σ = 5303854080. Its totient is φ = 818227200.

The previous prime is 2144302229. The next prime is 2144302297. The reversal of 2144302240 is 422034412.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349116 + ... + 355204.

It is an arithmetic number, because the mean of its divisors is an integer number (55248480).

Almost surely, 22144302240 is an apocalyptic number.

2144302240 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 2144302240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651927040).

2144302240 is an abundant number, since it is smaller than the sum of its proper divisors (3159551840).

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

2144302240 is a wasteful number, since it uses less digits than its factorization.

2144302240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6206 (or 6198 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2144302240 is about 46306.6111910600. The cubic root of 2144302240 is about 1289.5217344498.

Adding to 2144302240 its reverse (422034412), we get a palindrome (2566336652).

The spelling of 2144302240 in words is "two billion, one hundred forty-four million, three hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 71 80 124 142 155 160 248 284 310 355 496 568 620 710 992 1136 1240 1420 2201 2272 2480 2840 4402 4960 5680 6089 8804 11005 11360 12178 17608 22010 24356 30445 35216 44020 48712 60890 70432 88040 97424 121780 176080 188759 194848 243560 352160 377518 432319 487120 755036 864638 943795 974240 1510072 1729276 1887590 2161595 3020144 3458552 3775180 4323190 6040288 6917104 7550360 8646380 13401889 13834208 15100720 17292760 26803778 30201440 34585520 53607556 67009445 69171040 107215112 134018890 214430224 268037780 428860448 536075560 1072151120 2144302240