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22420349840 = 2457247731667
BaseRepresentation
bin10100111000010110…
…110110001110010000
32010212111211210001102
4110320112312032100
5331404102143330
614144425523532
71422411554300
oct247026661620
963774753042
1022420349840
119565780749
1244186435a8
132163c69cc5
141129921600
158b34b1945
hex5385b6390

22420349840 has 240 divisors, whose sum is σ = 62814051072. Its totient is φ = 7415912448.

The previous prime is 22420349839. The next prime is 22420349849. The reversal of 22420349840 is 4894302422.

It is a junction number, because it is equal to n+sod(n) for n = 22420349794 and 22420349803.

It is not an unprimeable number, because it can be changed into a prime (22420349849) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13448687 + ... + 13450353.

Almost surely, 222420349840 is an apocalyptic number.

22420349840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22420349840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31407025536).

22420349840 is an abundant number, since it is smaller than the sum of its proper divisors (40393701232).

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

22420349840 is a wasteful number, since it uses less digits than its factorization.

22420349840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The spelling of 22420349840 in words is "twenty-two billion, four hundred twenty million, three hundred forty-nine thousand, eight hundred forty".