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20800228000 = 255324121577
BaseRepresentation
bin10011010111110010…
…100100101010100000
31222200121022001200211
4103113302210222200
5320044324244000
613315553023504
71334310010066
oct232762445240
958617261624
1020800228000
118904206182
124045b54b94
131c6640a526
1410146b0036
1581b13a7ba
hex4d7ca4aa0

20800228000 has 96 divisors (see below), whose sum is σ = 51320597328. Its totient is φ = 8285184000.

The previous prime is 20800227949. The next prime is 20800228027. The reversal of 20800228000 is 82200802.

It can be written as a sum of positive squares in 8 ways, for example, as 4884891664 + 15915336336 = 69892^2 + 126156^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 953212 + ... + 974788.

Almost surely, 220800228000 is an apocalyptic number.

20800228000 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 20800228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25660298664).

20800228000 is an abundant number, since it is smaller than the sum of its proper divisors (30520369328).

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

20800228000 is a wasteful number, since it uses less digits than its factorization.

20800228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21843 (or 21825 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 20800228000 its reverse (82200802), we get a palindrome (20882428802).

The spelling of 20800228000 in words is "twenty billion, eight hundred million, two hundred twenty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 241 250 400 482 500 800 964 1000 1205 1928 2000 2410 3856 4000 4820 6025 7712 9640 12050 19280 21577 24100 30125 38560 43154 48200 60250 86308 96400 107885 120500 172616 192800 215770 241000 345232 431540 482000 539425 690464 863080 964000 1078850 1726160 2157700 2697125 3452320 4315400 5200057 5394250 8630800 10400114 10788500 17261600 20800228 21577000 26000285 41600456 43154000 52000570 83200912 86308000 104001140 130001425 166401824 208002280 260002850 416004560 520005700 650007125 832009120 1040011400 1300014250 2080022800 2600028500 4160045600 5200057000 10400114000 20800228000