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242222020 = 225471272029
BaseRepresentation
bin11100111000000…
…00001111000100
3121212210011010221
432130000033010
5444002101040
640011354124
76000565435
oct1634001704
9555704127
10242222020
11114800a97
1269152944
133b24b351
142425348c
15163e974a
hexe7003c4

242222020 has 48 divisors (see below), whose sum is σ = 523837440. Its totient is φ = 94034304.

The previous prime is 242222011. The next prime is 242222023. The reversal of 242222020 is 20222242.

It is a junction number, because it is equal to n+sod(n) for n = 242221985 and 242222003.

It is not an unprimeable number, because it can be changed into a prime (242222023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118366 + ... + 120394.

It is an arithmetic number, because the mean of its divisors is an integer number (10913280).

Almost surely, 2242222020 is an apocalyptic number.

242222020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242222020 is an abundant number, since it is smaller than the sum of its proper divisors (281615420).

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

242222020 is a wasteful number, since it uses less digits than its factorization.

242222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 242222020 is about 15563.4835432174. The cubic root of 242222020 is about 623.3584828488.

Adding to 242222020 its reverse (20222242), we get a palindrome (262444262).

It can be divided in two parts, 2422 and 22020, that added together give a palindrome (24442).

The spelling of 242222020 in words is "two hundred forty-two million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 47 94 127 188 235 254 470 508 635 940 1270 2029 2540 4058 5969 8116 10145 11938 20290 23876 29845 40580 59690 95363 119380 190726 257683 381452 476815 515366 953630 1030732 1288415 1907260 2576830 5153660 12111101 24222202 48444404 60555505 121111010 242222020