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230630585728 = 27127120111813
BaseRepresentation
bin1101011011001010100…
…1110111010110000000
3211001022001010122212111
43112302221313112000
512234312412220403
6253541125505104
722443145430134
oct3266251672600
9731261118774
10230630585728
118989aa53664
1238845872194
131899622b60a
14b23c1953c4
155eec60d56d
hex35b2a77580

230630585728 has 64 divisors (see below), whose sum is σ = 463501969920. Its totient is φ = 114302361600.

The previous prime is 230630585723. The next prime is 230630585743. The reversal of 230630585728 is 827585036032.

230630585728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230630585723) 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 7 ways as a sum of consecutive naturals, for example, 19517550 + ... + 19529362.

It is an arithmetic number, because the mean of its divisors is an integer number (7242218280).

Almost surely, 2230630585728 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 230630585728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231750984960).

230630585728 is an abundant number, since it is smaller than the sum of its proper divisors (232871384192).

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

230630585728 is a wasteful number, since it uses less digits than its factorization.

230630585728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13155 (or 13143 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 49.

The spelling of 230630585728 in words is "two hundred thirty billion, six hundred thirty million, five hundred eighty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 127 128 254 508 1016 1201 2032 2402 4064 4804 8128 9608 11813 16256 19216 23626 38432 47252 76864 94504 152527 153728 189008 305054 378016 610108 756032 1220216 1500251 1512064 2440432 3000502 4880864 6001004 9761728 12002008 14187413 19523456 24004016 28374826 48008032 56749652 96016064 113499304 192032128 226998608 453997216 907994432 1801801451 1815988864 3603602902 7207205804 14414411608 28828823216 57657646432 115315292864 230630585728