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14922002160 = 243251312712553
BaseRepresentation
bin11011110010110101…
…11010111011110000
31102111221101020202200
431321122322323300
5221030013032120
610504410143200
71035531632322
oct157132727360
942457336680
1014922002160
11636809909a
122a85421b00
13153a63a0a0
14a17b1d612
155c5058e90
hex3796baef0

14922002160 has 240 divisors, whose sum is σ = 54397185024. Its totient is φ = 3643895808.

The previous prime is 14922002143. The next prime is 14922002167. The reversal of 14922002160 is 6120022941.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×149220021602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14922002167) 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, 1182444 + ... + 1194996.

Almost surely, 214922002160 is an apocalyptic number.

14922002160 is a gapful number since it is divisible by the number (10) 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 14922002160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27198592512).

14922002160 is an abundant number, since it is smaller than the sum of its proper divisors (39475182864).

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

14922002160 is a wasteful number, since it uses less digits than its factorization.

14922002160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12712 (or 12703 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 14922002160 in words is "fourteen billion, nine hundred twenty-two million, two thousand, one hundred sixty".