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2230893321216 = 210372329155537
BaseRepresentation
bin100000011101101011100…
…110101001110000000000
321220021022210100212011120
4200131223212221300000
5243022332142234331
64424505214112240
7320114421231660
oct40355346516000
97807283325146
102230893321216
1179013113650a
123004417ab680
131324ac044071
1479d938b81a0
153d06d6d8796
hex2076b9a9c00

2230893321216 has 352 divisors, whose sum is σ = 7335620029440. Its totient is φ = 588657721344.

The previous prime is 2230893321211. The next prime is 2230893321233. The reversal of 2230893321216 is 6121233980322.

It is a happy number.

It is a super-3 number, since 3×22308933212163 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230893321211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14265400 + ... + 14420936.

Almost surely, 22230893321216 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 2230893321216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3667810014720).

2230893321216 is an abundant number, since it is smaller than the sum of its proper divisors (5104726708224).

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

2230893321216 is a wasteful number, since it uses less digits than its factorization.

2230893321216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155619 (or 155601 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 2230893321216 in words is "two trillion, two hundred thirty billion, eight hundred ninety-three million, three hundred twenty-one thousand, two hundred sixteen".