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14269022208 = 223357
BaseRepresentation
bin11010100101000000…
…00000000000000000
31100211102200102200000
431102200000000000
5213210332202313
610315522400000
71013412454560
oct152240000000
940742612600
1014269022208
116062544641
122922800000
13146528190c
14995104da0
15587a73673
hex352800000

14269022208 has 288 divisors, whose sum is σ = 48855250080. Its totient is φ = 4076863488.

The previous prime is 14269022197. The next prime is 14269022231. The reversal of 14269022208 is 80222096241.

14269022208 is a `hidden beast` number, since 1 + 426 + 9 + 0 + 2 + 220 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2038431741 + ... + 2038431747.

It is an arithmetic number, because the mean of its divisors is an integer number (169636285).

Almost surely, 214269022208 is an apocalyptic number.

14269022208 is a gapful number since it is divisible by the number (18) 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 14269022208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24427625040).

14269022208 is an abundant number, since it is smaller than the sum of its proper divisors (34586227872).

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

14269022208 is an frugal number, since it uses more digits than its factorization.

14269022208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 14269022208 in words is "fourteen billion, two hundred sixty-nine million, twenty-two thousand, two hundred eight".