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230780403072 = 2733835711409
BaseRepresentation
bin1101011011101110010…
…1010111110110000000
3211001200111001011122000
43112323211113312000
512240114240344242
6254004040544000
722446645026322
oct3267345276600
9731614034560
10230780403072
118996758064a
1238887a82000
13189bb29532b
14b254033612
15600a853a4c
hex35bb957d80

230780403072 has 256 divisors, whose sum is σ = 691026336000. Its totient is φ = 75813027840.

The previous prime is 230780403071. The next prime is 230780403103. The reversal of 230780403072 is 270304087032.

230780403072 is a `hidden beast` number, since 2 + 307 + 8 + 0 + 40 + 307 + 2 = 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 (230780403071) 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, 163789504 + ... + 163790912.

It is an arithmetic number, because the mean of its divisors is an integer number (2699321625).

Almost surely, 2230780403072 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 230780403072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345513168000).

230780403072 is an abundant number, since it is smaller than the sum of its proper divisors (460245932928).

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

230780403072 is a wasteful number, since it uses less digits than its factorization.

230780403072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 230780403072 in words is "two hundred thirty billion, seven hundred eighty million, four hundred three thousand, seventy-two".