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22442242420 = 22513101854617
BaseRepresentation
bin10100111001101010…
…010111000101110100
32010221001001001000201
4110321222113011310
5331430203224140
614150531050244
71423065625123
oct247152270564
963831031021
1022442242420
119577073994
124423a40984
1321686639b0
14112c7bdaba
158b538849a
hex539a97174

22442242420 has 48 divisors (see below), whose sum is σ = 51256569168. Its totient is φ = 8204313600.

The previous prime is 22442242411. The next prime is 22442242423. The reversal of 22442242420 is 2424224422.

It can be written as a sum of positive squares in 8 ways, for example, as 3213982864 + 19228259556 = 56692^2 + 138666^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22442242423) 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, 401049 + ... + 453568.

It is an arithmetic number, because the mean of its divisors is an integer number (1067845191).

Almost surely, 222442242420 is an apocalyptic number.

22442242420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22442242420 is an abundant number, since it is smaller than the sum of its proper divisors (28814326748).

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

22442242420 is a wasteful number, since it uses less digits than its factorization.

22442242420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854740 (or 854738 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 22442242420 its reverse (2424224422), we get a palindrome (24866466842).

The spelling of 22442242420 in words is "twenty-two billion, four hundred forty-two million, two hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 260 404 505 1010 1313 2020 2626 5252 6565 13130 26260 854617 1709234 3418468 4273085 8546170 11110021 17092340 22220042 44440084 55550105 86316317 111100210 172632634 222200420 345265268 431581585 863163170 1122112121 1726326340 2244224242 4488448484 5610560605 11221121210 22442242420