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230221333211120 = 245177938948711311
BaseRepresentation
bin110100010110001010010100…
…110010010010011111110000
31010012010221111112210220122022
4310112022110302102133300
5220133421242300223440
62133350115335331012
766330641153166566
oct6426122462223760
91105127445726568
10230221333211120
11673a0356815899
12219a252a820a68
139b5ca1768a634
1440bcab4461a36
151b938ba108cb5
hexd16294c927f0

230221333211120 has 320 divisors, whose sum is σ = 576632693145600. Its totient is φ = 85171670138880.

The previous prime is 230221333211117. The next prime is 230221333211123. The reversal of 230221333211120 is 21112333122032.

It is an interprime number because it is at equal distance from previous prime (230221333211117) and next prime (230221333211123).

It is a self number, because there is not a number n which added to its sum of digits gives 230221333211120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230221333211123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20353750265 + ... + 20353761575.

It is an arithmetic number, because the mean of its divisors is an integer number (1801977166080).

Almost surely, 2230221333211120 is an apocalyptic number.

230221333211120 is a gapful number since it is divisible by the number (20) 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 230221333211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288316346572800).

230221333211120 is an abundant number, since it is smaller than the sum of its proper divisors (346411359934480).

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

230221333211120 is a wasteful number, since it uses less digits than its factorization.

230221333211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12296 (or 12290 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 230221333211120 its reverse (21112333122032), we get a palindrome (251333666333152).

The spelling of 230221333211120 in words is "two hundred thirty trillion, two hundred twenty-one billion, three hundred thirty-three million, two hundred eleven thousand, one hundred twenty".