Search a number
-
+
330323310022230 = 23457270391182353
BaseRepresentation
bin100101100011011010110001…
…1100011100000111001010110
31121022120121012102111012020000
41023012311203203200321112
5321244004114331202410
63130312233403152130
7126402033362052300
oct11306654343407126
91538517172435200
10330323310022230
1196284368aa6558
123106aa54215646
131124147ba2b615
145b7da3aa74970
15282c702444dc0
hex12c6d638e0e56

330323310022230 has 240 divisors, whose sum is σ = 1033363018575360. Its totient is φ = 75491680707072.

The previous prime is 330323310022193. The next prime is 330323310022241. The reversal of 330323310022230 is 32220013323033.

330323310022230 is a `hidden beast` number, since 3 + 3 + 0 + 323 + 3 + 100 + 2 + 2 + 230 = 666.

It is a super-2 number, since 2×3303233100222302 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 330323310022194 and 330323310022203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 278786734 + ... + 279969086.

It is an arithmetic number, because the mean of its divisors is an integer number (4305679244064).

Almost surely, 2330323310022230 is an apocalyptic number.

330323310022230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 330323310022230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516681509287680).

330323310022230 is an abundant number, since it is smaller than the sum of its proper divisors (703039708553130).

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

330323310022230 is a wasteful number, since it uses less digits than its factorization.

330323310022230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189425 (or 1189409 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 330323310022230 its reverse (32220013323033), we get a palindrome (362543323345263).

The spelling of 330323310022230 in words is "three hundred thirty trillion, three hundred twenty-three billion, three hundred ten million, twenty-two thousand, two hundred thirty".