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14222435616 = 253249383457
BaseRepresentation
bin11010011111011100…
…10010010100100000
31100201012000120212200
431033232102110200
5213111420414431
610311140053200
71012305464604
oct151756222440
940635016780
1014222435616
116039215424
12290b094200
13145872009c
1498cc59504
1558391eee6
hex34fb92520

14222435616 has 36 divisors (see below), whose sum is σ = 40445052102. Its totient is φ = 4740811776.

The previous prime is 14222435599. The next prime is 14222435627. The reversal of 14222435616 is 61653422241.

14222435616 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 2 + 4 + 35 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7917440400 + 6304995216 = 88980^2 + 79404^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24691441 + ... + 24692016.

Almost surely, 214222435616 is an apocalyptic number.

14222435616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14222435616 is an abundant number, since it is smaller than the sum of its proper divisors (26222616486).

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

14222435616 is a wasteful number, since it uses less digits than its factorization.

14222435616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49383473 (or 49383462 counting only the distinct ones).

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

Adding to 14222435616 its reverse (61653422241), we get a palindrome (75875857857).

The spelling of 14222435616 in words is "fourteen billion, two hundred twenty-two million, four hundred thirty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 49383457 98766914 148150371 197533828 296300742 395067656 444451113 592601484 790135312 888902226 1185202968 1580270624 1777804452 2370405936 3555608904 4740811872 7111217808 14222435616