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2044002000 = 24353443769
BaseRepresentation
bin111100111010100…
…1111111011010000
312021110011001121210
41321311033323100
513141231031000
6534454020120
7101436505335
oct17165177320
95243131553
102044002000
11959870a57
12490647640
13267612651
1415567098c
15be6a5350
hex79d4fed0

2044002000 has 160 divisors (see below), whose sum is σ = 6613326720. Its totient is φ = 543129600.

The previous prime is 2044001963. The next prime is 2044002001. The reversal of 2044002000 is 2004402.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2044002001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2657616 + ... + 2658384.

It is an arithmetic number, because the mean of its divisors is an integer number (41333292).

Almost surely, 22044002000 is an apocalyptic number.

2044002000 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 2044002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306663360).

2044002000 is an abundant number, since it is smaller than the sum of its proper divisors (4569324720).

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

2044002000 is a wasteful number, since it uses less digits than its factorization.

2044002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2044002000 is about 45210.6403405216. The cubic root of 2044002000 is about 1269.0939452706.

Adding to 2044002000 its reverse (2004402), we get a palindrome (2046006402).

The spelling of 2044002000 in words is "two billion, forty-four million, two thousand", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 443 500 600 750 769 886 1000 1200 1329 1500 1538 1772 2000 2215 2307 2658 3000 3076 3544 3845 4430 4614 5316 6000 6152 6645 7088 7690 8860 9228 10632 11075 11535 12304 13290 15380 17720 18456 19225 21264 22150 23070 26580 30760 33225 35440 36912 38450 44300 46140 53160 55375 57675 61520 66450 76900 88600 92280 96125 106320 110750 115350 132900 153800 166125 177200 184560 192250 221500 230700 265800 288375 307600 332250 340667 384500 443000 461400 531600 576750 664500 681334 769000 886000 922800 1022001 1153500 1329000 1362668 1538000 1703335 2044002 2307000 2658000 2725336 3406670 4088004 4614000 5110005 5450672 6813340 8176008 8516675 10220010 13626680 16352016 17033350 20440020 25550025 27253360 34066700 40880040 42583375 51100050 68133400 81760080 85166750 102200100 127750125 136266800 170333500 204400200 255500250 340667000 408800400 511000500 681334000 1022001000 2044002000