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230709853416 = 2337171923316789
BaseRepresentation
bin1101011011011101100…
…0001111110011101000
3211001111120021212200210
43112313120033303220
512234443210302131
6253553040501120
722445130253230
oct3266730176350
9731446255623
10230709853416
1189930774649
123886831a7a0
13189a9793583
14b24890acc0
15600456a146
hex35b760fce8

230709853416 has 1024 divisors, whose sum is σ = 812187648000. Its totient is φ = 52991262720.

The previous prime is 230709853369. The next prime is 230709853417. The reversal of 230709853416 is 614358907032.

It is not an unprimeable number, because it can be changed into a prime (230709853417) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2592245500 + ... + 2592245588.

It is an arithmetic number, because the mean of its divisors is an integer number (793152000).

It is a 1-persistent number, because it is pandigital, but 2⋅230709853416 = 461419706832 is not.

Almost surely, 2230709853416 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 230709853416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406093824000).

230709853416 is an abundant number, since it is smaller than the sum of its proper divisors (581477794584).

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

230709853416 is a wasteful number, since it uses less digits than its factorization.

230709853416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 230709853416 in words is "two hundred thirty billion, seven hundred nine million, eight hundred fifty-three thousand, four hundred sixteen".