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2044224440 = 235194216389
BaseRepresentation
bin111100111011000…
…0110001110111000
312021110120100202022
41321312012032320
513141310140230
6534502454012
7101441423006
oct17166061670
95243510668
102044224440
11959a03095
12490734308
1326768c97b
141556cba76
15be6eb1e5
hex79d863b8

2044224440 has 64 divisors (see below), whose sum is σ = 4853844000. Its totient is φ = 772692480.

The previous prime is 2044224437. The next prime is 2044224443. The reversal of 2044224440 is 444224402.

It is an interprime number because it is at equal distance from previous prime (2044224437) and next prime (2044224443).

It is a super-2 number, since 2×20442244402 = 8357707122186627200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2044224443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316766 + ... + 323154.

Almost surely, 22044224440 is an apocalyptic number.

2044224440 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 2044224440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426922000).

2044224440 is an abundant number, since it is smaller than the sum of its proper divisors (2809619560).

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

2044224440 is a wasteful number, since it uses less digits than its factorization.

2044224440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6840 (or 6836 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

The square root of 2044224440 is about 45213.1003139577. The cubic root of 2044224440 is about 1269.1399802904.

Adding to 2044224440 its reverse (444224402), we get a palindrome (2488448842).

The spelling of 2044224440 in words is "two billion, forty-four million, two hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 421 760 842 1684 2105 3368 4210 6389 7999 8420 12778 15998 16840 25556 31945 31996 39995 51112 63890 63992 79990 121391 127780 159980 242782 255560 319960 485564 606955 971128 1213910 2427820 2689769 4855640 5379538 10759076 13448845 21518152 26897690 51105611 53795380 102211222 107590760 204422444 255528055 408844888 511056110 1022112220 2044224440