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20344436200 = 235211191812689
BaseRepresentation
bin10010111100100111…
…110111010111101000
31221111211122102220001
4102330213313113220
5313131133424300
613202431512344
71320103566034
oct227447672750
957454572801
1020344436200
11869a9a4040
123b393886b4
131bc2b6353a
14dadd451c4
157e110616a
hex4bc9f75e8

20344436200 has 192 divisors, whose sum is σ = 54637128000. Its totient is φ = 6967296000.

The previous prime is 20344436183. The next prime is 20344436251. The reversal of 20344436200 is 263444302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7564456 + ... + 7567144.

It is an arithmetic number, because the mean of its divisors is an integer number (284568375).

Almost surely, 220344436200 is an apocalyptic number.

20344436200 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 20344436200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27318564000).

20344436200 is an abundant number, since it is smaller than the sum of its proper divisors (34292691800).

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

20344436200 is a wasteful number, since it uses less digits than its factorization.

20344436200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The spelling of 20344436200 in words is "twenty billion, three hundred forty-four million, four hundred thirty-six thousand, two hundred".