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242333220 = 223519212573
BaseRepresentation
bin11100111000110…
…11011000100100
3121212222210200110
432130123120210
5444014130340
640014013020
76001540563
oct1634333044
9555883613
10242333220
11114877598
12691a7170
133b289b4c
1424281bda
151641c680
hexe71b624

242333220 has 48 divisors (see below), whose sum is σ = 714248640. Its totient is φ = 61220736.

The previous prime is 242333219. The next prime is 242333227. The reversal of 242333220 is 22333242.

242333220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2423332203 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (242333227) 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, 105147 + ... + 107426.

It is an arithmetic number, because the mean of its divisors is an integer number (14880180).

Almost surely, 2242333220 is an apocalyptic number.

242333220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242333220 is an abundant number, since it is smaller than the sum of its proper divisors (471915420).

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

242333220 is a wasteful number, since it uses less digits than its factorization.

242333220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212604 (or 212602 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 242333220 is about 15567.0555982819. The cubic root of 242333220 is about 623.4538593392.

Adding to 242333220 its reverse (22333242), we get a palindrome (264666462).

The spelling of 242333220 in words is "two hundred forty-two million, three hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 212573 425146 637719 850292 1062865 1275438 2125730 2550876 3188595 4038887 4251460 6377190 8077774 12116661 12754380 16155548 20194435 24233322 40388870 48466644 60583305 80777740 121166610 242333220