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2044430100 = 22325222710007
BaseRepresentation
bin111100111011011…
…1000011100010100
312021110221210212100
41321312320130110
513141333230400
6534511122100
7101443240416
oct17166703424
95243853770
102044430100
1195a033659
12490813330
1326773246b
141557429b6
15be73c100
hex79db8714

2044430100 has 108 divisors (see below), whose sum is σ = 6437025504. Its totient is φ = 542725440.

The previous prime is 2044430093. The next prime is 2044430137. The reversal of 2044430100 is 10344402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 199297 + ... + 209303.

It is an arithmetic number, because the mean of its divisors is an integer number (59602088).

Almost surely, 22044430100 is an apocalyptic number.

2044430100 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 2044430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218512752).

2044430100 is an abundant number, since it is smaller than the sum of its proper divisors (4392595404).

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

2044430100 is a wasteful number, since it uses less digits than its factorization.

2044430100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10254 (or 10244 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2044430100 is about 45215.3745975857. The cubic root of 2044430100 is about 1269.1825396380.

Adding to 2044430100 its reverse (10344402), we get a palindrome (2054774502).

The spelling of 2044430100 in words is "two billion, forty-four million, four hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 227 300 450 454 681 900 908 1135 1362 2043 2270 2724 3405 4086 4540 5675 6810 8172 10007 10215 11350 13620 17025 20014 20430 22700 30021 34050 40028 40860 50035 51075 60042 68100 90063 100070 102150 120084 150105 180126 200140 204300 250175 300210 360252 450315 500350 600420 750525 900630 1000700 1501050 1801260 2251575 2271589 3002100 4503150 4543178 6814767 9006300 9086356 11357945 13629534 20444301 22715890 27259068 34073835 40888602 45431780 56789725 68147670 81777204 102221505 113579450 136295340 170369175 204443010 227158900 340738350 408886020 511107525 681476700 1022215050 2044430100