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230244802560 = 213335613413
BaseRepresentation
bin1101011001101110101…
…0001110000000000000
3211000022011012211212000
43112123222032000000
512233020132140220
6253434545104000
722430452346643
oct3263352160000
9730264184760
10230244802560
1189712208aa3
1238758628000
1318934327056
14b202c51a5a
155ec8807390
hex359ba8e000

230244802560 has 448 divisors, whose sum is σ = 832261642560. Its totient is φ = 60374384640.

The previous prime is 230244802511. The next prime is 230244802561. The reversal of 230244802560 is 65208442032.

230244802560 is a `hidden beast` number, since 2 + 30 + 24 + 48 + 0 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230244802561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67459414 + ... + 67462826.

Almost surely, 2230244802560 is an apocalyptic number.

230244802560 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 230244802560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416130821280).

230244802560 is an abundant number, since it is smaller than the sum of its proper divisors (602016840000).

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

230244802560 is an equidigital number, since it uses as much as digits as its factorization.

230244802560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3514 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 230244802560 in words is "two hundred thirty billion, two hundred forty-four million, eight hundred two thousand, five hundred sixty".