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20000211200 = 285223831637
BaseRepresentation
bin10010101000000110…
…110000000100000000
31220121211220222221222
4102220012300010000
5311430023224300
613104333534212
71305423663434
oct225006600400
956554828858
1020000211200
118533663772
123a62044368
131b6974cac8
14d7a33c9c4
157c0cad785
hex4a81b0100

20000211200 has 216 divisors, whose sum is σ = 52310276928. Its totient is φ = 7555440640.

The previous prime is 20000211181. The next prime is 20000211227. The reversal of 20000211200 is 211200002.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 12216782 + ... + 12218418.

It is an arithmetic number, because the mean of its divisors is an integer number (242177208).

Almost surely, 220000211200 is an apocalyptic number.

20000211200 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 20000211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26155138464).

20000211200 is an abundant number, since it is smaller than the sum of its proper divisors (32310065728).

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

20000211200 is a wasteful number, since it uses less digits than its factorization.

20000211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 20000211200 its reverse (211200002), we get a palindrome (20211411202).

The spelling of 20000211200 in words is "twenty billion, two hundred eleven thousand, two hundred".