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20204332200 = 23355213113283
BaseRepresentation
bin10010110100010001…
…011010010010101000
31221011002000102100000
4102310101122102220
5312334302112300
613140504543000
71313452663413
oct226421322250
957132012300
1020204332200
118628900908
123aba481a60
131b9cb1aa70
14d994b4b7a
157d3b7dc00
hex4b445a4a8

20204332200 has 576 divisors, whose sum is σ = 76719464640. Its totient is φ = 4911943680.

The previous prime is 20204332177. The next prime is 20204332201. The reversal of 20204332200 is 223340202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20204332201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 71393259 + ... + 71393541.

It is an arithmetic number, because the mean of its divisors is an integer number (133193515).

Almost surely, 220204332200 is an apocalyptic number.

20204332200 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 20204332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38359732320).

20204332200 is an abundant number, since it is smaller than the sum of its proper divisors (56515132440).

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

20204332200 is a wasteful number, since it uses less digits than its factorization.

20204332200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 20204332200 its reverse (223340202), we get a palindrome (20427672402).

The spelling of 20204332200 in words is "twenty billion, two hundred four million, three hundred thirty-two thousand, two hundred".