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22420141056 = 2103219612099
BaseRepresentation
bin10100111000010110…
…000011010000000000
32010212111110011122200
4110320112003100000
5331404024003211
614144421233200
71422410024505
oct247026032000
963774404580
1022420141056
1195656488a5
124418562800
132163bc5c71
1411298a94ac
158b346eb56
hex538583400

22420141056 has 264 divisors, whose sum is σ = 69295044000. Its totient is φ = 6960660480.

The previous prime is 22420141039. The next prime is 22420141061. The reversal of 22420141056 is 65014102422.

22420141056 is a `hidden beast` number, since 2 + 242 + 0 + 1 + 410 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10680295 + ... + 10682393.

Almost surely, 222420141056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22420141056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34647522000).

22420141056 is an abundant number, since it is smaller than the sum of its proper divisors (46874902944).

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

22420141056 is a wasteful number, since it uses less digits than its factorization.

22420141056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 22420141056 its reverse (65014102422), we get a palindrome (87434243478).

The spelling of 22420141056 in words is "twenty-two billion, four hundred twenty million, one hundred forty-one thousand, fifty-six".