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2044216000 = 26531715031
BaseRepresentation
bin111100111011000…
…0100001011000000
312021110112221011201
41321312010023000
513141304403000
6534502350544
7101441356261
oct17166041300
95243487151
102044216000
119599a7812
1249072b454
13267688b88
141556c8968
15be6e896a
hex79d842c0

2044216000 has 112 divisors (see below), whose sum is σ = 5360651712. Its totient is φ = 769536000.

The previous prime is 2044215977. The next prime is 2044216021. The reversal of 2044216000 is 6124402.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 128485 + ... + 143515.

Almost surely, 22044216000 is an apocalyptic number.

2044216000 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 2044216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2680325856).

2044216000 is an abundant number, since it is smaller than the sum of its proper divisors (3316435712).

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

2044216000 is a wasteful number, since it uses less digits than its factorization.

2044216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15075 (or 15055 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2044216000 is about 45213.0069780810. The cubic root of 2044216000 is about 1269.1382336530.

The spelling of 2044216000 in words is "two billion, forty-four million, two hundred sixteen thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 136 160 170 200 250 272 320 340 400 425 500 544 680 800 850 1000 1088 1360 1600 1700 2000 2125 2720 3400 4000 4250 5440 6800 8000 8500 13600 15031 17000 27200 30062 34000 60124 68000 75155 120248 136000 150310 240496 255527 300620 375775 480992 511054 601240 751550 961984 1022108 1202480 1277635 1503100 1878875 2044216 2404960 2555270 3006200 3757750 4088432 4809920 5110540 6012400 6388175 7515500 8176864 10221080 12024800 12776350 15031000 16353728 20442160 24049600 25552700 30062000 31940875 40884320 51105400 60124000 63881750 81768640 102210800 120248000 127763500 204421600 255527000 408843200 511054000 1022108000 2044216000