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230221201320 = 2333511130714827
BaseRepresentation
bin1101011001101001000…
…0001011111110101000
3211000020111210210001000
43112122100023332220
512232443111420240
6253432343155000
722430044631445
oct3263220137650
9730214723030
10230221201320
11896aa959040
1238750745a60
131892c482716
14b1dda6a9cc
155ec66e4430
hex359a40bfa8

230221201320 has 256 divisors, whose sum is σ = 837865036800. Its totient is φ = 55764737280.

The previous prime is 230221201313. The next prime is 230221201321. The reversal of 230221201320 is 23102122032.

230221201320 is a `hidden beast` number, since 2 + 302 + 21 + 20 + 1 + 320 = 666.

230221201320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 230221201293 and 230221201302.

It is not an unprimeable number, because it can be changed into a prime (230221201321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15519747 + ... + 15534573.

It is an arithmetic number, because the mean of its divisors is an integer number (3272910300).

Almost surely, 2230221201320 is an apocalyptic number.

230221201320 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 230221201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418932518400).

230221201320 is an abundant number, since it is smaller than the sum of its proper divisors (607643835480).

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

230221201320 is a wasteful number, since it uses less digits than its factorization.

230221201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16165 (or 16155 counting only the distinct ones).

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

Adding to 230221201320 its reverse (23102122032), we get a palindrome (253323323352).

The spelling of 230221201320 in words is "two hundred thirty billion, two hundred twenty-one million, two hundred one thousand, three hundred twenty".