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238723825000 = 23559548953
BaseRepresentation
bin1101111001010100001…
…1000111110101101000
3211211012001222211000011
43132111003013311220
512402401244400000
6301400200021304
723150541013663
oct3362503076550
9754161884004
10238723825000
1192273415061
123a324161834
1319685b88bab
14b7a8db06da
156322dc52ba
hex37950c7d68

238723825000 has 48 divisors (see below), whose sum is σ = 559473214860. Its totient is φ = 95489520000.

The previous prime is 238723824949. The next prime is 238723825001. The reversal of 238723825000 is 528327832.

It can be written as a sum of positive squares in 6 ways, for example, as 21946052164 + 216777772836 = 148142^2 + 465594^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (238723825001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4749477 + ... + 4799476.

Almost surely, 2238723825000 is an apocalyptic number.

238723825000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238723825000 is an abundant number, since it is smaller than the sum of its proper divisors (320749389860).

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

238723825000 is an frugal number, since it uses more digits than its factorization.

238723825000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9548984 (or 9548960 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 238723825000 in words is "two hundred thirty-eight billion, seven hundred twenty-three million, eight hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 5000 6250 12500 25000 9548953 19097906 38195812 47744765 76391624 95489530 190979060 238723825 381958120 477447650 954895300 1193619125 1909790600 2387238250 4774476500 5968095625 9548953000 11936191250 23872382500 29840478125 47744765000 59680956250 119361912500 238723825000