Search a number
-
+
201333697920 = 27325231519729
BaseRepresentation
bin1011101110000001101…
…1000110110110000000
3201020200021212120002200
42323200123012312000
511244312411313140
6232254051513200
720355144124065
oct2734033066600
9636607776080
10201333697920
1178426695193
123302a2b8800
1315ca7725344
149a5d294c6c
1553855be030
hex2ee06c6d80

201333697920 has 192 divisors, whose sum is σ = 725458312800. Its totient is φ = 51354648576.

The previous prime is 201333697913. The next prime is 201333697921. The reversal of 201333697920 is 29796333102.

201333697920 is a `hidden beast` number, since 201 + 3 + 336 + 97 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201333697921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 627385 + ... + 892344.

Almost surely, 2201333697920 is an apocalyptic number.

201333697920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201333697920 is an abundant number, since it is smaller than the sum of its proper divisors (524124614880).

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

201333697920 is a wasteful number, since it uses less digits than its factorization.

201333697920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519777 (or 1519762 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The spelling of 201333697920 in words is "two hundred one billion, three hundred thirty-three million, six hundred ninety-seven thousand, nine hundred twenty".