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20266200 = 233652139
BaseRepresentation
bin100110101001…
…1110011011000
31102010122000000
41031103303120
520142004300
62002213000
7334155063
oct115236330
942118000
1020266200
1110492329
126954160
134277646
1429978da
151ba4c00
hex1353cd8

20266200 has 168 divisors, whose sum is σ = 71154300. Its totient is φ = 5365440.

The previous prime is 20266199. The next prime is 20266223. The reversal of 20266200 is 266202.

20266200 is a `hidden beast` number, since 2 + 0 + 2 + 662 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 41 ways as a sum of consecutive naturals, for example, 145731 + ... + 145869.

Almost surely, 220266200 is an apocalyptic number.

20266200 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 20266200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35577150).

20266200 is an abundant number, since it is smaller than the sum of its proper divisors (50888100).

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

20266200 is a wasteful number, since it uses less digits than its factorization.

20266200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20266200 is about 4501.7996401439. The cubic root of 20266200 is about 272.6407543745.

The spelling of 20266200 in words is "twenty million, two hundred sixty-six thousand, two hundred".