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114222144224 = 2522915587083
BaseRepresentation
bin110101001100000101…
…0111001101011100000
3101220211100010010102002
41222120022321223200
53332411332103344
6124250052543132
711152350130556
oct1523012715340
9356740103362
10114222144224
1144494471601
121a178921aa8
13aa04159cb6
145757c41bd6
152e87aed44e
hex1a982b9ae0

114222144224 has 24 divisors (see below), whose sum is σ = 225856847160. Its totient is φ = 56861675136.

The previous prime is 114222144193. The next prime is 114222144227. The reversal of 114222144224 is 422441222411.

It is a super-2 number, since 2×1142221442242 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114222144227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7786214 + ... + 7800869.

It is an arithmetic number, because the mean of its divisors is an integer number (9410701965).

Almost surely, 2114222144224 is an apocalyptic number.

It is an amenable number.

114222144224 is a deficient number, since it is larger than the sum of its proper divisors (111634702936).

114222144224 is a wasteful number, since it uses less digits than its factorization.

114222144224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15587322 (or 15587314 counting only the distinct ones).

The product of its digits is 8192, while the sum is 29.

Adding to 114222144224 its reverse (422441222411), we get a palindrome (536663366635).

The spelling of 114222144224 in words is "one hundred fourteen billion, two hundred twenty-two million, one hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 229 458 916 1832 3664 7328 15587083 31174166 62348332 124696664 249393328 498786656 3569442007 7138884014 14277768028 28555536056 57111072112 114222144224