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22305045640 = 2353174394007
BaseRepresentation
bin10100110001011110…
…111111110010001000
32010120110212201102111
4110301132333302020
5331140042430030
614125150312104
71416511521403
oct246136776210
963513781374
1022305045640
119506686a19
1243a5ab8634
1321460c8577
1411184a8d3a
158a82d762a
hex5317bfc88

22305045640 has 64 divisors (see below), whose sum is σ = 50471942400. Its totient is φ = 8871399168.

The previous prime is 22305045617. The next prime is 22305045641. The reversal of 22305045640 is 4654050322.

It is a super-2 number, since 2×223050456402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22305045641) 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 15 ways as a sum of consecutive naturals, for example, 5564517 + ... + 5568523.

It is an arithmetic number, because the mean of its divisors is an integer number (788624100).

Almost surely, 222305045640 is an apocalyptic number.

22305045640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22305045640 is an abundant number, since it is smaller than the sum of its proper divisors (28166896760).

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

22305045640 is a wasteful number, since it uses less digits than its factorization.

22305045640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4774 (or 4770 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 22305045640 its reverse (4654050322), we get a palindrome (26959095962).

The spelling of 22305045640 in words is "twenty-two billion, three hundred five million, forty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 317 439 634 878 1268 1585 1756 2195 2536 3170 3512 4007 4390 6340 8014 8780 12680 16028 17560 20035 32056 40070 80140 139163 160280 278326 556652 695815 1113304 1270219 1391630 1759073 2540438 2783260 3518146 5080876 5566520 6351095 7036292 8795365 10161752 12702190 14072584 17590730 25404380 35181460 50808760 70362920 557626141 1115252282 2230504564 2788130705 4461009128 5576261410 11152522820 22305045640