Search a number
-
+
200273920 = 2125711127
BaseRepresentation
bin10111110111111…
…11000000000000
3111221211222011121
423323333000000
5402232231140
631512322024
74651204660
oct1373770000
9457758147
10200273920
11a305a840
12570a3314
1332651ba2
141c8541a0
15128b064a
hexbeff000

200273920 has 208 divisors, whose sum is σ = 603906048. Its totient is φ = 61931520.

The previous prime is 200273911. The next prime is 200273929. The reversal of 200273920 is 29372002.

200273920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200273911) and next prime (200273929).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200273929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1576897 + ... + 1577023.

Almost surely, 2200273920 is an apocalyptic number.

200273920 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 200273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301953024).

200273920 is an abundant number, since it is smaller than the sum of its proper divisors (403632128).

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

200273920 is a wasteful number, since it uses less digits than its factorization.

200273920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 200273920 is about 14151.8168444903. The cubic root of 200273920 is about 585.0704081619.

The spelling of 200273920 in words is "two hundred million, two hundred seventy-three thousand, nine hundred twenty".