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22428082422 = 23217101725687
BaseRepresentation
bin10100111000110100…
…010110000011110110
32010220001101122011100
4110320310112003312
5331413042114142
614145303350530
71422534361254
oct247064260366
963801348140
1022428082422
11956a082309
12441b152446
1321657467b5
14112a9755d4
158b3edcb4c
hex538d160f6

22428082422 has 48 divisors (see below), whose sum is σ = 51962163552. Its totient is φ = 6966585600.

The previous prime is 22428082403. The next prime is 22428082477.

22428082422 is a `hidden beast` number, since 224 + 2 + 8 + 0 + 8 + 2 + 422 = 666.

22428082422 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×224280824222 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 331938 + ... + 393749.

It is an arithmetic number, because the mean of its divisors is an integer number (1082545074).

Almost surely, 222428082422 is an apocalyptic number.

22428082422 is an abundant number, since it is smaller than the sum of its proper divisors (29534081130).

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

22428082422 is a wasteful number, since it uses less digits than its factorization.

22428082422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725813 (or 725810 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 22428082422 in words is "twenty-two billion, four hundred twenty-eight million, eighty-two thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 101 102 153 202 303 306 606 909 1717 1818 3434 5151 10302 15453 30906 725687 1451374 2177061 4354122 6531183 12336679 13062366 24673358 37010037 73294387 74020074 111030111 146588774 219883161 222060222 439766322 659649483 1246004579 1319298966 2492009158 3738013737 7476027474 11214041211 22428082422