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20444022200 = 2352715679319
BaseRepresentation
bin10011000010100011…
…110000010110111000
31221202210000221012102
4103002203300112320
5313332132202300
613220350202532
71322423215160
oct230243602670
957683027172
1020444022200
118741132518
123b667b3448
131c0a690774
14dbd2695a0
157e9c280d5
hex4c28f05b8

20444022200 has 96 divisors (see below), whose sum is σ = 54363187200. Its totient is φ = 7004154240.

The previous prime is 20444022191. The next prime is 20444022251. The reversal of 20444022200 is 222044402.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2189141 + ... + 2198459.

It is an arithmetic number, because the mean of its divisors is an integer number (566283200).

Almost surely, 220444022200 is an apocalyptic number.

20444022200 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 20444022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27181593600).

20444022200 is an abundant number, since it is smaller than the sum of its proper divisors (33919165000).

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

20444022200 is a wasteful number, since it uses less digits than its factorization.

20444022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10909 (or 10900 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 20444022200 its reverse (222044402), we get a palindrome (20666066602).

The spelling of 20444022200 in words is "twenty billion, four hundred forty-four million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 1567 3134 6268 7835 9319 10969 12536 15670 18638 21938 31340 37276 39175 43876 46595 54845 62680 65233 74552 78350 87752 93190 109690 130466 156700 186380 219380 232975 260932 274225 313400 326165 372760 438760 465950 521864 548450 652330 931900 1096900 1304660 1630825 1863800 2193800 2609320 3261650 6523300 13046600 14602873 29205746 58411492 73014365 102220111 116822984 146028730 204440222 292057460 365071825 408880444 511100555 584114920 730143650 817760888 1022201110 1460287300 2044402220 2555502775 2920574600 4088804440 5111005550 10222011100 20444022200