Search a number
-
+
200306831088 = 243721323284831
BaseRepresentation
bin1011101010001100110…
…1111010111011110000
3201011000201122022121210
42322203031322323300
511240212022043323
6232004130320120
720320534654200
oct2724315727360
9634021568553
10200306831088
1177a49a90a11
12329a2429040
1315b72a6c330
1499a2b52400
155325382293
hex2ea337aef0

200306831088 has 240 divisors, whose sum is σ = 676432705536. Its totient is φ = 50531120640.

The previous prime is 200306831057. The next prime is 200306831093. The reversal of 200306831088 is 880138603002.

200306831088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 560833 + ... + 845663.

Almost surely, 2200306831088 is an apocalyptic number.

200306831088 is a gapful number since it is divisible by the number (28) 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 200306831088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338216352768).

200306831088 is an abundant number, since it is smaller than the sum of its proper divisors (476125874448).

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

200306831088 is a wasteful number, since it uses less digits than its factorization.

200306831088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284892 (or 284879 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 200306831088 in words is "two hundred billion, three hundred six million, eight hundred thirty-one thousand, eighty-eight".