Search a number
-
+
230220542250 = 23353613731499
BaseRepresentation
bin1101011001101000110…
…1101011000100101010
3211000020110120021222000
43112122031223010222
512232442424323000
6253432321111430
722430036215116
oct3263215530452
9730213507860
10230220542250
11896aa548956
1238750488576
131892c2b173a
14b1dd938746
155ec6614000
hex359a36b12a

230220542250 has 256 divisors, whose sum is σ = 651119040000. Its totient is φ = 60183648000.

The previous prime is 230220542231. The next prime is 230220542273. The reversal of 230220542250 is 52245022032.

230220542250 is a `hidden beast` number, since 2 + 30 + 2 + 205 + 422 + 5 + 0 = 666.

230220542250 is digitally balanced in base 2, 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 (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 153582001 + ... + 153583499.

It is an arithmetic number, because the mean of its divisors is an integer number (2543433750).

Almost surely, 2230220542250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230220542250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325559520000).

230220542250 is an abundant number, since it is smaller than the sum of its proper divisors (420898497750).

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

230220542250 is a wasteful number, since it uses less digits than its factorization.

230220542250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 230220542250 its reverse (52245022032), we get a palindrome (282465564282).

The spelling of 230220542250 in words is "two hundred thirty billion, two hundred twenty million, five hundred forty-two thousand, two hundred fifty".