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23063481700 = 22527223320201
BaseRepresentation
bin10101011110101100…
…001100110101100100
32012112100000021002221
4111132230030311210
5334213222403300
614332322242124
71444351234300
oct253654146544
965470007087
1023063481700
119865809186
124577ab6344
132237287abc
14118b0d4d00
158eeb9e31a
hex55eb0cd64

23063481700 has 108 divisors (see below), whose sum is σ = 58471577892. Its totient is φ = 7873152000.

The previous prime is 23063481689. The next prime is 23063481703. The reversal of 23063481700 is 718436032.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9312636004 + 13750845696 = 96502^2 + 117264^2 .

It is not an unprimeable number, because it can be changed into a prime (23063481703) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1131600 + ... + 1151800.

It is an arithmetic number, because the mean of its divisors is an integer number (541403499).

Almost surely, 223063481700 is an apocalyptic number.

23063481700 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 23063481700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29235788946).

23063481700 is an abundant number, since it is smaller than the sum of its proper divisors (35408096192).

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

23063481700 is a wasteful number, since it uses less digits than its factorization.

23063481700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20462 (or 20448 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 23063481700 in words is "twenty-three billion, sixty-three million, four hundred eighty-one thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 233 245 350 466 490 700 932 980 1165 1225 1631 2330 2450 3262 4660 4900 5825 6524 8155 11417 11650 16310 20201 22834 23300 32620 40402 40775 45668 57085 80804 81550 101005 114170 141407 163100 202010 228340 282814 285425 404020 505025 565628 570850 707035 989849 1010050 1141700 1414070 1979698 2020100 2828140 3535175 3959396 4706833 4949245 7070350 9413666 9898490 14140700 18827332 19796980 23534165 24746225 32947831 47068330 49492450 65895662 94136660 98984900 117670825 131791324 164739155 230634817 235341650 329478310 461269634 470683300 658956620 823695775 922539268 1153174085 1647391550 2306348170 3294783100 4612696340 5765870425 11531740850 23063481700