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14220488232 = 2332197506781
BaseRepresentation
bin11010011111001101…
…10110111000101000
31100201001100122120100
431033212312320220
5213110421110412
610311030225400
71012253104236
oct151746667050
940631318510
1014220488232
116038105315
12290a4b5260
1314581ba8a2
1498c8ad956
15583687edc
hex34f9b6e28

14220488232 has 24 divisors (see below), whose sum is σ = 38513822490. Its totient is φ = 4740162720.

The previous prime is 14220488207. The next prime is 14220488239. The reversal of 14220488232 is 23288402241.

14220488232 is a `hidden beast` number, since 142 + 2 + 0 + 488 + 2 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9918964836 + 4301523396 = 99594^2 + 65586^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 (14220488239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 98753319 + ... + 98753462.

Almost surely, 214220488232 is an apocalyptic number.

14220488232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14220488232 is an abundant number, since it is smaller than the sum of its proper divisors (24293334258).

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

14220488232 is a wasteful number, since it uses less digits than its factorization.

14220488232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197506793 (or 197506786 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 14220488232 in words is "fourteen billion, two hundred twenty million, four hundred eighty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 197506781 395013562 592520343 790027124 1185040686 1580054248 1777561029 2370081372 3555122058 4740162744 7110244116 14220488232