Search a number
-
+
30221012032200 = 233252114481340619
BaseRepresentation
bin1101101111100011000001…
…01011111101101011001000
310222000002201021211021102100
412313301200223331223020
512430120113040012300
6144135201414033400
76236252564563263
oct667614053755310
9128002637737370
1030221012032200
1196a1728483020
12348104b948860
1313b2aa19c6a72
147669c1d13cda
153761b7c75700
hex1b7c60afdac8

30221012032200 has 288 divisors, whose sum is σ = 110743832253600. Its totient is φ = 7324649472000.

The previous prime is 30221012032199. The next prime is 30221012032243. The reversal of 30221012032200 is 223021012203.

30221012032200 is a `hidden beast` number, since 3 + 0 + 221 + 0 + 120 + 322 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 88553491 + ... + 88894109.

It is an arithmetic number, because the mean of its divisors is an integer number (384527195325).

Almost surely, 230221012032200 is an apocalyptic number.

30221012032200 is a gapful number since it is divisible by the number (30) 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 30221012032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55371916126800).

30221012032200 is an abundant number, since it is smaller than the sum of its proper divisors (80522820221400).

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

30221012032200 is a wasteful number, since it uses less digits than its factorization.

30221012032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345133 (or 345121 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30221012032200 its reverse (223021012203), we get a palindrome (30444033044403).

The spelling of 30221012032200 in words is "thirty trillion, two hundred twenty-one billion, twelve million, thirty-two thousand, two hundred".