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2242622226 = 2313215714087
BaseRepresentation
bin1000010110101011…
…1011001100010010
312210021220000100110
42011222323030102
514043102402401
61010311102150
7106400655135
oct20552731422
95707800313
102242622226
11a509a12a9
12527071956
13299805900
14173bb421c
15d1d3a9d6
hex85abb312

2242622226 has 48 divisors (see below), whose sum is σ = 4888085184. Its totient is φ = 685593792.

The previous prime is 2242622219. The next prime is 2242622227. The reversal of 2242622226 is 6222262422.

It is a junction number, because it is equal to n+sod(n) for n = 2242622193 and 2242622202.

It is not an unprimeable number, because it can be changed into a prime (2242622227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152155 + ... + 166241.

It is an arithmetic number, because the mean of its divisors is an integer number (101835108).

Almost surely, 22242622226 is an apocalyptic number.

2242622226 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242622226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444042592).

2242622226 is an abundant number, since it is smaller than the sum of its proper divisors (2645462958).

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

2242622226 is a wasteful number, since it uses less digits than its factorization.

2242622226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14275 (or 14262 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 2242622226 is about 47356.3324804614. The cubic root of 2242622226 is about 1308.9368889722.

Adding to 2242622226 its reverse (6222262422), we get a palindrome (8464884648).

The spelling of 2242622226 in words is "two billion, two hundred forty-two million, six hundred twenty-two thousand, two hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 78 157 169 314 338 471 507 942 1014 2041 4082 6123 12246 14087 26533 28174 42261 53066 79599 84522 159198 183131 366262 549393 1098786 2211659 2380703 4423318 4761406 6634977 7142109 13269954 14284218 28751567 57503134 86254701 172509402 373770371 747540742 1121311113 2242622226