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22145301540 = 22325123029453
BaseRepresentation
bin10100100111111101…
…100111110000100100
32010011100021212201100
4110213331213300210
5330323144122130
614101242400100
71412531646225
oct244775476044
963140255640
1022145301540
1194344998aa
124360500030
13211bc9742b
1411011a524c
15899280c60
hex527f67c24

22145301540 has 36 divisors (see below), whose sum is σ = 67174081884. Its totient is φ = 5905413696.

The previous prime is 22145301533. The next prime is 22145301547. The reversal of 22145301540 is 4510354122.

It is an interprime number because it is at equal distance from previous prime (22145301533) and next prime (22145301547).

It can be written as a sum of positive squares in 2 ways, for example, as 3699315684 + 18445985856 = 60822^2 + 135816^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (22145301547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61514547 + ... + 61514906.

It is an arithmetic number, because the mean of its divisors is an integer number (1865946719).

Almost surely, 222145301540 is an apocalyptic number.

22145301540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22145301540 is an abundant number, since it is smaller than the sum of its proper divisors (45028780344).

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

22145301540 is a wasteful number, since it uses less digits than its factorization.

22145301540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123029468 (or 123029463 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 22145301540 its reverse (4510354122), we get a palindrome (26655655662).

The spelling of 22145301540 in words is "twenty-two billion, one hundred forty-five million, three hundred one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 123029453 246058906 369088359 492117812 615147265 738176718 1107265077 1230294530 1476353436 1845441795 2214530154 2460589060 3690883590 4429060308 5536325385 7381767180 11072650770 22145301540