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330002212320 = 253351123392969
BaseRepresentation
bin1001100110101011010…
…10100010010111100000
31011112210102101022212000
410303111222202113200
520401321031243240
6411333444404000
732561522344164
oct4632552422740
91145712338760
10330002212320
11117a537114a0
1253b590a6600
13251717b9971
1411d879a4ca4
1588b65c3430
hex4cd5aa25e0

330002212320 has 384 divisors, whose sum is σ = 1260971712000. Its totient is φ = 79939399680.

The previous prime is 330002212303. The next prime is 330002212333. The reversal of 330002212320 is 23212200033.

It is a happy number.

330002212320 is a `hidden beast` number, since 330 + 0 + 0 + 2 + 2 + 12 + 320 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 330002212293 and 330002212302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111147796 + ... + 111150764.

It is an arithmetic number, because the mean of its divisors is an integer number (3283780500).

Almost surely, 2330002212320 is an apocalyptic number.

330002212320 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 330002212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630485856000).

330002212320 is an abundant number, since it is smaller than the sum of its proper divisors (930969499680).

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

330002212320 is a wasteful number, since it uses less digits than its factorization.

330002212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5343 (or 5329 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 330002212320 its reverse (23212200033), we get a palindrome (353214412353).

The spelling of 330002212320 in words is "three hundred thirty billion, two million, two hundred twelve thousand, three hundred twenty".