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242425000 = 23559697
BaseRepresentation
bin11100111001100…
…01110010101000
3121220011110120201
432130301302220
5444030100000
640020001544
76002402266
oct1634616250
9556143521
10242425000
1111492a544
12692302b4
133b2bc85c
14242a7436
151643996a
hexe731ca8

242425000 has 48 divisors (see below), whose sum is σ = 568205820. Its totient is φ = 96960000.

The previous prime is 242424997. The next prime is 242425003. The reversal of 242425000 is 524242.

242425000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242424997) and next prime (242425003).

It can be written as a sum of positive squares in 6 ways, for example, as 69923044 + 172501956 = 8362^2 + 13134^2 .

It is not an unprimeable number, because it can be changed into a prime (242425003) 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, 20152 + ... + 29848.

Almost surely, 2242425000 is an apocalyptic number.

242425000 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 242425000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284102910).

242425000 is an abundant number, since it is smaller than the sum of its proper divisors (325780820).

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

242425000 is an frugal number, since it uses more digits than its factorization.

242425000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9728 (or 9704 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 242425000 is about 15570.0032113035. The cubic root of 242425000 is about 623.5325572755.

Adding to 242425000 its reverse (524242), we get a palindrome (242949242).

The spelling of 242425000 in words is "two hundred forty-two million, four 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 9697 12500 19394 25000 38788 48485 77576 96970 193940 242425 387880 484850 969700 1212125 1939400 2424250 4848500 6060625 9697000 12121250 24242500 30303125 48485000 60606250 121212500 242425000