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2224202664141 = 323312887258617
BaseRepresentation
bin100000010111011100110…
…011110100100011001101
321212122001111201021002200
4200113130303310203031
5242420131340223031
64421441250112113
7316456546464063
oct40273463644315
97778044637080
102224202664141
11788308467857
122bb094b7b639
13131983b5a693
147991b084033
153cccb1268e6
hex205dccf48cd

2224202664141 has 24 divisors (see below), whose sum is σ = 3223571991744. Its totient is φ = 1477804236480.

The previous prime is 2224202664083. The next prime is 2224202664199. The reversal of 2224202664141 is 1414662024222.

2224202664141 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 2 + 0 + 2 + 6 + 641 + 4 + 1 = 666.

2224202664141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2224202664083) and next prime (2224202664199).

It is not a de Polignac number, because 2224202664141 - 26 = 2224202664077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2224202664096 and 2224202664105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224202665141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8471065 + ... + 8729681.

It is an arithmetic number, because the mean of its divisors is an integer number (134315499656).

Almost surely, 22224202664141 is an apocalyptic number.

It is an amenable number.

2224202664141 is a deficient number, since it is larger than the sum of its proper divisors (999369327603).

2224202664141 is a wasteful number, since it uses less digits than its factorization.

2224202664141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261841 (or 261838 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 2224202664141 its reverse (1414662024222), we get a palindrome (3638864688363).

The spelling of 2224202664141 in words is "two trillion, two hundred twenty-four billion, two hundred two million, six hundred sixty-four thousand, one hundred forty-one".

Divisors: 1 3 9 331 993 2887 2979 8661 25983 258617 775851 955597 2327553 2866791 8600373 85602227 256806681 746627279 770420043 2239881837 6719645511 247133629349 741400888047 2224202664141