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22420240020 = 2233541518963
BaseRepresentation
bin10100111000010110…
…011011011010010100
32010212111122012102000
4110320112123122110
5331404040140040
614144423315300
71422410616153
oct247026333224
963774565360
1022420240020
119565706192
1244185abb30
132163c2c019
1411298d359a
158b348e130
hex53859b694

22420240020 has 48 divisors (see below), whose sum is σ = 69751859520. Its totient is φ = 5978730528.

The previous prime is 22420240013. The next prime is 22420240091. The reversal of 22420240020 is 2004202422.

22420240020 is a `hidden beast` number, since 2 + 2 + 420 + 240 + 0 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22420239975 and 22420240002.

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 15 ways as a sum of consecutive naturals, for example, 20758942 + ... + 20760021.

It is an arithmetic number, because the mean of its divisors is an integer number (1453163740).

Almost surely, 222420240020 is an apocalyptic number.

22420240020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22420240020 is an abundant number, since it is smaller than the sum of its proper divisors (47331619500).

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

22420240020 is a wasteful number, since it uses less digits than its factorization.

22420240020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41518981 (or 41518973 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 22420240020 its reverse (2004202422), we get a palindrome (24424442442).

The spelling of 22420240020 in words is "twenty-two billion, four hundred twenty million, two hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 41518963 83037926 124556889 166075852 207594815 249113778 373670667 415189630 498227556 622784445 747341334 830379260 1121012001 1245568890 1494682668 1868353335 2242024002 2491137780 3736706670 4484048004 5605060005 7473413340 11210120010 22420240020