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2144505200 = 245237144899
BaseRepresentation
bin111111111010010…
…1000110101110000
312112110021011002112
41333310220311300
513342443131300
6552444104452
7104066664515
oct17764506560
95473234075
102144505200
11a00576552
124ba235128
132823a11b6
14164b5330c
15c8408e35
hex7fd28d70

2144505200 has 60 divisors (see below), whose sum is σ = 5291458200. Its totient is φ = 834612480.

The previous prime is 2144505199. The next prime is 2144505221. The reversal of 2144505200 is 25054412.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57650 + ... + 87249.

It is an arithmetic number, because the mean of its divisors is an integer number (88190970).

Almost surely, 22144505200 is an apocalyptic number.

2144505200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144505200 is an abundant number, since it is smaller than the sum of its proper divisors (3146953000).

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

2144505200 is a wasteful number, since it uses less digits than its factorization.

2144505200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144954 (or 144943 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 2144505200 is about 46308.8026189406. The cubic root of 2144505200 is about 1289.5624179364.

Adding to 2144505200 its reverse (25054412), we get a palindrome (2169559612).

The spelling of 2144505200 in words is "two billion, one hundred forty-four million, five hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 148 185 200 296 370 400 592 740 925 1480 1850 2960 3700 7400 14800 144899 289798 579596 724495 1159192 1448990 2318384 2897980 3622475 5361263 5795960 7244950 10722526 11591920 14489900 21445052 26806315 28979800 42890104 53612630 57959600 85780208 107225260 134031575 214450520 268063150 428901040 536126300 1072252600 2144505200