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242226280 = 23510159957
BaseRepresentation
bin11100111000000…
…01010001101000
3121212210100222201
432130001101220
5444002220110
640011425544
76000614032
oct1634012150
9555710881
10242226280
1111480420a
12691552b4
133b25027a
1424254c52
15163eab3a
hexe701468

242226280 has 32 divisors (see below), whose sum is σ = 550414440. Its totient is φ = 95929600.

The previous prime is 242226277. The next prime is 242226289. The reversal of 242226280 is 82622242.

It can be written as a sum of positive squares in 4 ways, for example, as 223024356 + 19201924 = 14934^2 + 4382^2 .

It is not an unprimeable number, because it can be changed into a prime (242226289) 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 7 ways as a sum of consecutive naturals, for example, 25939 + ... + 34018.

Almost surely, 2242226280 is an apocalyptic number.

242226280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242226280 is an abundant number, since it is smaller than the sum of its proper divisors (308188160).

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

242226280 is a wasteful number, since it uses less digits than its factorization.

242226280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60069 (or 60065 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 242226280 is about 15563.6204014362. The cubic root of 242226280 is about 623.3621371980.

The spelling of 242226280 in words is "two hundred forty-two million, two hundred twenty-six thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 59957 119914 239828 299785 479656 599570 1199140 2398280 6055657 12111314 24222628 30278285 48445256 60556570 121113140 242226280