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14222153536 = 263711535209
BaseRepresentation
bin11010011111011010…
…01101011101000000
31100201011111020221021
431033231031131000
5213111332403121
610311130035224
71012303211323
oct151755153500
940634436837
1014222153536
1160390424a8
12290ab78b14
131458651886
1498cbc47ba
155838b6641
hex34fb4d740

14222153536 has 56 divisors (see below), whose sum is σ = 29015552840. Its totient is φ = 6911557632.

The previous prime is 14222153459. The next prime is 14222153537. The reversal of 14222153536 is 63535122241.

It can be written as a sum of positive squares in 4 ways, for example, as 11278440000 + 2943713536 = 106200^2 + 54256^2 .

It is a super-3 number, since 3×142221535363 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14222153537) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2727700 + ... + 2732908.

Almost surely, 214222153536 is an apocalyptic number.

14222153536 is a gapful number since it is divisible by the number (16) 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 14222153536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14507776420).

14222153536 is an abundant number, since it is smaller than the sum of its proper divisors (14793399304).

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

14222153536 is a wasteful number, since it uses less digits than its factorization.

14222153536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6411 (or 6401 counting only the distinct ones).

The product of its digits is 43200, while the sum is 34.

Adding to 14222153536 its reverse (63535122241), we get a palindrome (77757275777).

The spelling of 14222153536 in words is "fourteen billion, two hundred twenty-two million, one hundred fifty-three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1153 1184 2306 2368 4612 5209 9224 10418 18448 20836 36896 41672 42661 73792 83344 85322 166688 170644 192733 333376 341288 385466 682576 770932 1365152 1541864 2730304 3083728 6005977 6167456 12011954 12334912 24023908 48047816 96095632 192191264 222221149 384382528 444442298 888884596 1777769192 3555538384 7111076768 14222153536