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242325020 = 22573794567
BaseRepresentation
bin11100111000110…
…01011000011100
3121212222101102202
432130121120130
5444013400040
640013511032
76001504640
oct1634313034
9555871382
10242325020
11114871413
12691a2478
133b2861b2
142427cc20
151641a015
hexe71961c

242325020 has 48 divisors (see below), whose sum is σ = 583242240. Its totient is φ = 82845504.

The previous prime is 242325007. The next prime is 242325023. The reversal of 242325020 is 20523242.

242325020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 242324983 and 242325001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242325023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50777 + ... + 55343.

It is an arithmetic number, because the mean of its divisors is an integer number (12150880).

Almost surely, 2242325020 is an apocalyptic number.

242325020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242325020 is an abundant number, since it is smaller than the sum of its proper divisors (340917220).

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

242325020 is a wasteful number, since it uses less digits than its factorization.

242325020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4962 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 242325020 is about 15566.7922193366. The cubic root of 242325020 is about 623.4468271773.

Adding to 242325020 its reverse (20523242), we get a palindrome (262848262).

The spelling of 242325020 in words is "two hundred forty-two million, three hundred twenty-five thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 379 758 1516 1895 2653 3790 4567 5306 7580 9134 10612 13265 18268 22835 26530 31969 45670 53060 63938 91340 127876 159845 319690 639380 1730893 3461786 6923572 8654465 12116251 17308930 24232502 34617860 48465004 60581255 121162510 242325020