Search a number
-
+
30222203200 = 265274757413
BaseRepresentation
bin11100001001011000…
…100011100101000000
32220000020101222212021
4130021120203211000
5443343341000300
621514530411224
72116635326410
oct341130434500
986006358767
1030222203200
11118a9711642
125a35430b14
132b08424597
141669b6a640
15bbd3bbd1a
hex709623940

30222203200 has 168 divisors, whose sum is σ = 86798944512. Its totient is φ = 10141255680.

The previous prime is 30222203177. The next prime is 30222203201. The reversal of 30222203200 is 230222203.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30222203201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 497694 + ... + 555106.

It is an arithmetic number, because the mean of its divisors is an integer number (516660384).

Almost surely, 230222203200 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 30222203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43399472256).

30222203200 is an abundant number, since it is smaller than the sum of its proper divisors (56576741312).

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

30222203200 is a wasteful number, since it uses less digits than its factorization.

30222203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57489 (or 57474 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 30222203200 its reverse (230222203), we get a palindrome (30452425403).

The spelling of 30222203200 in words is "thirty billion, two hundred twenty-two million, two hundred three thousand, two hundred".