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242423180 = 22529478893
BaseRepresentation
bin11100111001100…
…01010110001100
3121220011101002022
432130301112030
5444030020210
640015545312
76002364056
oct1634612614
9556141068
10242423180
1111492913a
126922b238
133b2bba8c
14242a68d6
1516439155
hexe73158c

242423180 has 48 divisors (see below), whose sum is σ = 537909120. Its totient is φ = 91623168.

The previous prime is 242423173. The next prime is 242423191. The reversal of 242423180 is 81324242.

242423180 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22814 + ... + 31706.

It is an arithmetic number, because the mean of its divisors is an integer number (11206440).

Almost surely, 2242423180 is an apocalyptic number.

242423180 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 242423180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268954560).

242423180 is an abundant number, since it is smaller than the sum of its proper divisors (295485940).

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

242423180 is a wasteful number, since it uses less digits than its factorization.

242423180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8978 (or 8976 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 242423180 is about 15569.9447654769. The cubic root of 242423180 is about 623.5309968862.

The spelling of 242423180 in words is "two hundred forty-two million, four hundred twenty-three thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 29 47 58 94 116 145 188 235 290 470 580 940 1363 2726 5452 6815 8893 13630 17786 27260 35572 44465 88930 177860 257897 417971 515794 835942 1031588 1289485 1671884 2089855 2578970 4179710 5157940 8359420 12121159 24242318 48484636 60605795 121211590 242423180