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2044143200 = 255211673467
BaseRepresentation
bin111100111010111…
…0010011001100000
312021110102020022102
41321311302121200
513141300040300
6534501025532
7101440634111
oct17165623140
95243366272
102044143200
11959958050
124906b52a8
132676619b8
141556aa208
15be6d20d5
hex79d72660

2044143200 has 144 divisors (see below), whose sum is σ = 5526771264. Its totient is φ = 732019200.

The previous prime is 2044143169. The next prime is 2044143203. The reversal of 2044143200 is 23414402.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2044143203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 587867 + ... + 591333.

It is an arithmetic number, because the mean of its divisors is an integer number (38380356).

Almost surely, 22044143200 is an apocalyptic number.

2044143200 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 2044143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763385632).

2044143200 is an abundant number, since it is smaller than the sum of its proper divisors (3482628064).

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

2044143200 is a wasteful number, since it uses less digits than its factorization.

2044143200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2044143200 is about 45212.2018928519. The cubic root of 2044143200 is about 1269.1231676717.

Adding to 2044143200 its reverse (23414402), we get a palindrome (2067557602).

The spelling of 2044143200 in words is "two billion, forty-four million, one hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 67 80 88 100 110 134 160 176 200 220 268 275 335 352 400 440 536 550 670 737 800 880 1072 1100 1340 1474 1675 1760 2144 2200 2680 2948 3350 3467 3685 4400 5360 5896 6700 6934 7370 8800 10720 11792 13400 13868 14740 17335 18425 23584 26800 27736 29480 34670 36850 38137 53600 55472 58960 69340 73700 76274 86675 110944 117920 138680 147400 152548 173350 190685 232289 277360 294800 305096 346700 381370 464578 554720 589600 610192 693400 762740 929156 953425 1161445 1220384 1386800 1525480 1858312 1906850 2322890 2555179 2773600 3050960 3716624 3813700 4645780 5110358 5807225 6101920 7433248 7627400 9291560 10220716 11614450 12775895 15254800 18583120 20441432 23228900 25551790 30509600 37166240 40882864 46457800 51103580 63879475 81765728 92915600 102207160 127758950 185831200 204414320 255517900 408828640 511035800 1022071600 2044143200