Search a number
-
+
200122212096 = 2832672275711
BaseRepresentation
bin1011101001100000110…
…1101001111100000000
3201010112212020200222100
42322120031221330000
511234322241241341
6231533533310400
720313133510332
oct2723015517400
9633485220870
10200122212096
1177964853a34
1232950635400
1315b4373bc21
149986415452
1553140653b6
hex2e98369f00

200122212096 has 216 divisors, whose sum is σ = 588296427264. Its totient is φ = 65410836480.

The previous prime is 200122212091. The next prime is 200122212107. The reversal of 200122212096 is 690212221002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200122212091) 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, 35038681 + ... + 35044391.

Almost surely, 2200122212096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200122212096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294148213632).

200122212096 is an abundant number, since it is smaller than the sum of its proper divisors (388174215168).

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

200122212096 is a wasteful number, since it uses less digits than its factorization.

200122212096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6027 (or 6010 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 200122212096 its reverse (690212221002), we get a palindrome (890334433098).

The spelling of 200122212096 in words is "two hundred billion, one hundred twenty-two million, two hundred twelve thousand, ninety-six".