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22442413420 = 2257315171063
BaseRepresentation
bin10100111001101011…
…000000110101101100
32010221001100201121001
4110321223000311230
5331430224212140
614150534450044
71423100236510
oct247153006554
963831321531
1022442413420
119577180409
124423b03924
1321686c378b
14112c826140
158b53bde9a
hex539ac0d6c

22442413420 has 48 divisors (see below), whose sum is σ = 55599280128. Its totient is φ = 7446329280.

The previous prime is 22442413393. The next prime is 22442413429. The reversal of 22442413420 is 2431424422.

It is a super-2 number, since 2×224424134202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (22442413429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2581192 + ... + 2589871.

It is an arithmetic number, because the mean of its divisors is an integer number (1158318336).

Almost surely, 222442413420 is an apocalyptic number.

22442413420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22442413420 is an abundant number, since it is smaller than the sum of its proper divisors (33156866708).

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

22442413420 is a wasteful number, since it uses less digits than its factorization.

22442413420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5171110 (or 5171108 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 22442413420 its reverse (2431424422), we get a palindrome (24873837842).

The spelling of 22442413420 in words is "twenty-two billion, four hundred forty-two million, four hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 2170 4340 5171063 10342126 20684252 25855315 36197441 51710630 72394882 103421260 144789764 160302953 180987205 320605906 361974410 641211812 723948820 801514765 1122120671 1603029530 2244241342 3206059060 4488482684 5610603355 11221206710 22442413420