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20229281107200 = 28375211831583
BaseRepresentation
bin1001001100101111111110…
…00111010100110100000000
32122121220022101022120000000
410212113333013110310000
510122414031430412300
6111005111540000000
74155342305205234
oct446277707246400
978556271276000
1020229281107200
11649a20a899490
1223286a1390000
13b397c7a72439
144dd1610d25c4
15251323c7dc00
hex1265ff1d4d00

20229281107200 has 1728 divisors, whose sum is σ = 82960650178560. Its totient is φ = 4841922355200.

The previous prime is 20229281107159. The next prime is 20229281107207. The reversal of 20229281107200 is 270118292202.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×202292811072002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20229281107207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12779077609 + ... + 12779079191.

It is an arithmetic number, because the mean of its divisors is an integer number (48009635520).

Almost surely, 220229281107200 is an apocalyptic number.

20229281107200 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 20229281107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41480325089280).

20229281107200 is an abundant number, since it is smaller than the sum of its proper divisors (62731369071360).

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

20229281107200 is an equidigital number, since it uses as much as digits as its factorization.

20229281107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 20229281107200 its reverse (270118292202), we get a palindrome (20499399399402).

The spelling of 20229281107200 in words is "twenty trillion, two hundred twenty-nine billion, two hundred eighty-one million, one hundred seven thousand, two hundred".