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20048228000 = 255337135461
BaseRepresentation
bin10010101010111101…
…111010111010100000
31220202012021111121222
4102222331322322200
5312024321244000
613113211034212
71306546061213
oct225275727240
956665244558
1020048228000
11855877a479
123a7613b968
131b76692608
14d8287b77a
157c50e5a85
hex4aaf7aea0

20048228000 has 96 divisors (see below), whose sum is σ = 50590180368. Its totient is φ = 7802496000.

The previous prime is 20048227999. The next prime is 20048228051. The reversal of 20048228000 is 82284002.

It can be written as a sum of positive squares in 8 ways, for example, as 839376784 + 19208851216 = 28972^2 + 138596^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 80270 + ... + 215730.

Almost surely, 220048228000 is an apocalyptic number.

20048228000 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 20048228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25295090184).

20048228000 is an abundant number, since it is smaller than the sum of its proper divisors (30541952368).

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

20048228000 is a wasteful number, since it uses less digits than its factorization.

20048228000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135523 (or 135505 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The spelling of 20048228000 in words is "twenty billion, forty-eight million, two hundred twenty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 74 80 100 125 148 160 185 200 250 296 370 400 500 592 740 800 925 1000 1184 1480 1850 2000 2960 3700 4000 4625 5920 7400 9250 14800 18500 29600 37000 74000 135461 148000 270922 541844 677305 1083688 1354610 2167376 2709220 3386525 4334752 5012057 5418440 6773050 10024114 10836880 13546100 16932625 20048228 21673760 25060285 27092200 33865250 40096456 50120570 54184400 67730500 80192912 100241140 108368800 125301425 135461000 160385824 200482280 250602850 270922000 400964560 501205700 541844000 626507125 801929120 1002411400 1253014250 2004822800 2506028500 4009645600 5012057000 10024114000 20048228000