Search a number
-
+
23081405000 = 23546017681
BaseRepresentation
bin10101011111110000…
…100100101001001000
32012120120201212020212
4111133300210221020
5334232314430000
614334202340252
71444656463643
oct253760445110
965516655225
1023081405000
119874940225
124581aba688
13223abc1bc4
14118d63ca5a
1590153ec35
hex55fc24a48

23081405000 has 80 divisors (see below), whose sum is σ = 54176767260. Its totient is φ = 9216000000.

The previous prime is 23081404999. The next prime is 23081405003. The reversal of 23081405000 is 50418032.

It can be written as a sum of positive squares in 10 ways, for example, as 1110916 + 23080294084 = 1054^2 + 151922^2 .

It is not an unprimeable number, because it can be changed into a prime (23081405003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3001160 + ... + 3008840.

Almost surely, 223081405000 is an apocalyptic number.

23081405000 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 23081405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27088383630).

23081405000 is an abundant number, since it is smaller than the sum of its proper divisors (31095362260).

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

23081405000 is an equidigital number, since it uses as much as digits as its factorization.

23081405000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8308 (or 8289 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The spelling of 23081405000 in words is "twenty-three billion, eighty-one million, four hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 601 625 1000 1202 1250 2404 2500 3005 4808 5000 6010 7681 12020 15025 15362 24040 30050 30724 38405 60100 61448 75125 76810 120200 150250 153620 192025 300500 307240 375625 384050 601000 751250 768100 960125 1502500 1536200 1920250 3005000 3840500 4616281 4800625 7681000 9232562 9601250 18465124 19202500 23081405 36930248 38405000 46162810 92325620 115407025 184651240 230814050 461628100 577035125 923256200 1154070250 2308140500 2885175625 4616281000 5770351250 11540702500 23081405000