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14220532368 = 24347171923211
BaseRepresentation
bin11010011111001110…
…00001101010010000
31100201001102220010000
431033213001222100
5213110424013433
610311031210000
71012253350020
oct151747015220
940631386100
1014220532368
116038135499
12290a516900
1314582049c3
1498c8c1a80
15583696113
hex34f9c1a90

14220532368 has 800 divisors, whose sum is σ = 54965053440. Its totient is φ = 3448811520.

The previous prime is 14220532367. The next prime is 14220532379. The reversal of 14220532368 is 86323502241.

14220532368 is a `hidden beast` number, since 1 + 42 + 20 + 532 + 3 + 68 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14220532367) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 67395783 + ... + 67395993.

Almost surely, 214220532368 is an apocalyptic number.

14220532368 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 14220532368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27482526720).

14220532368 is an abundant number, since it is smaller than the sum of its proper divisors (40744521072).

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

14220532368 is a wasteful number, since it uses less digits than its factorization.

14220532368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 14220532368 in words is "fourteen billion, two hundred twenty million, five hundred thirty-two thousand, three hundred sixty-eight".