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22314502345 = 5174379109709
BaseRepresentation
bin10100110010000011…
…000100100011001001
32010121010200011120211
4110302003010203021
5331200003033340
614130125121121
71416655066102
oct246203044311
963533604524
1022314502345
119510a55983
1243a90b91a1
132148059a55
14111984b3a9
158a90545ea
hex5320c48c9

22314502345 has 64 divisors (see below), whose sum is σ = 29690496000. Its totient is φ = 16031748096.

The previous prime is 22314502337. The next prime is 22314502349. The reversal of 22314502345 is 54320541322.

It is a cyclic number.

It is not a de Polignac number, because 22314502345 - 23 = 22314502337 is a prime.

It is a super-3 number, since 3×223145023453 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (22314502349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31472851 + ... + 31473559.

It is an arithmetic number, because the mean of its divisors is an integer number (463914000).

Almost surely, 222314502345 is an apocalyptic number.

It is an amenable number.

22314502345 is a deficient number, since it is larger than the sum of its proper divisors (7375993655).

22314502345 is a wasteful number, since it uses less digits than its factorization.

22314502345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962.

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

The spelling of 22314502345 in words is "twenty-two billion, three hundred fourteen million, five hundred two thousand, three hundred forty-five".

Divisors: 1 5 17 43 79 85 109 215 395 545 709 731 1343 1853 3397 3545 3655 4687 6715 8611 9265 12053 16985 23435 30487 43055 56011 57749 60265 77281 79679 146387 152435 280055 288745 370273 386405 398395 518279 731935 952187 1313777 1851365 2408473 2591395 3323083 4760935 6105199 6294641 6568885 12042365 16615415 30525995 31473205 40944041 56492411 103788383 204720205 262523557 282462055 518941915 1312617785 4462900469 22314502345