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20207923200 = 21233527309
BaseRepresentation
bin10010110100011111…
…000111000000000000
31221011022202212021000
4102310133013000000
5312341212020300
613141113532000
71313525340663
oct226437070000
957138685230
1020207923200
11862a933883
123abb714000
131ba07a740a
14d99b6b6da
157d413cc00
hex4b47c7000

20207923200 has 312 divisors, whose sum is σ = 74246500400. Its totient is φ = 5388042240.

The previous prime is 20207923189. The next prime is 20207923201. The reversal of 20207923200 is 232970202.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20207923201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2761146 + ... + 2768454.

Almost surely, 220207923200 is an apocalyptic number.

20207923200 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 20207923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37123250200).

20207923200 is an abundant number, since it is smaller than the sum of its proper divisors (54038577200).

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

20207923200 is an equidigital number, since it uses as much as digits as its factorization.

20207923200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7352 (or 7319 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 20207923200 in words is "twenty billion, two hundred seven million, nine hundred twenty-three thousand, two hundred".