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14224015350 = 23252231374301
BaseRepresentation
bin11010011111101000…
…10011111111110110
31100201021222211212100
431033310103333312
5213112321442400
610311234002530
71012325064336
oct151764237766
940637884770
1014224015350
11603a0a4296
12290b716446
131458b5413c
1498d14b0c6
15583b33100
hex34fd13ff6

14224015350 has 72 divisors (see below), whose sum is σ = 39876746832. Its totient is φ = 3628152000.

The previous prime is 14224015349. The next prime is 14224015363. The reversal of 14224015350 is 5351042241.

14224015350 is a `hidden beast` number, since 1 + 422 + 40 + 153 + 50 = 666.

It is a super-2 number, since 2×142240153502 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 676801 + ... + 697500.

It is an arithmetic number, because the mean of its divisors is an integer number (553843706).

Almost surely, 214224015350 is an apocalyptic number.

14224015350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14224015350 is an abundant number, since it is smaller than the sum of its proper divisors (25652731482).

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

14224015350 is a wasteful number, since it uses less digits than its factorization.

14224015350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374342 (or 1374334 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 14224015350 its reverse (5351042241), we get a palindrome (19575057591).

The spelling of 14224015350 in words is "fourteen billion, two hundred twenty-four million, fifteen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 50 69 75 90 115 138 150 207 225 230 345 414 450 575 690 1035 1150 1725 2070 3450 5175 10350 1374301 2748602 4122903 6871505 8245806 12368709 13743010 20614515 24737418 31608923 34357525 41229030 61843545 63217846 68715050 94826769 103072575 123687090 158044615 189653538 206145150 284480307 309217725 316089230 474133845 568960614 618435450 790223075 948267690 1422401535 1580446150 2370669225 2844803070 4741338450 7112007675 14224015350