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2224141203492 = 2232136597211591
BaseRepresentation
bin100000010111011001001…
…001010111100000100100
321212121220020001201221100
4200113121021113200210
5242420020122002432
64421431212520100
7316455202204365
oct40273111274044
97777806051840
102224141203492
117882867a952a
122bb078480030
131319741bb930
1479912c45b6c
153ccc5a3607c
hex205d9257824

2224141203492 has 72 divisors (see below), whose sum is σ = 6063795017280. Its totient is φ = 683312575680.

The previous prime is 2224141203491. The next prime is 2224141203527. The reversal of 2224141203492 is 2943021414222.

2224141203492 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 141 + 20 + 3 + 492 = 666.

It is a super-3 number, since 3×22241412034923 (a number of 38 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2224141203491) 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 23 ways as a sum of consecutive naturals, for example, 3297384 + ... + 3914207.

It is an arithmetic number, because the mean of its divisors is an integer number (84219375240).

Almost surely, 22224141203492 is an apocalyptic number.

It is an amenable number.

2224141203492 is an abundant number, since it is smaller than the sum of its proper divisors (3839653813788).

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

2224141203492 is a wasteful number, since it uses less digits than its factorization.

2224141203492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7212273 (or 7212268 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 2224141203492 in words is "two trillion, two hundred twenty-four billion, one hundred forty-one million, two hundred three thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 659 1318 1977 2636 3954 5931 7908 8567 11862 17134 23724 25701 34268 51402 77103 102804 154206 308412 7211591 14423182 21634773 28846364 43269546 64904319 86539092 93750683 129808638 187501366 259617276 281252049 375002732 562504098 843756147 1125008196 1687512294 3375024588 4752438469 9504876938 14257315407 19009753876 28514630814 42771946221 57029261628 61781700097 85543892442 123563400194 171087784884 185345100291 247126800388 370690200582 556035300873 741380401164 1112070601746 2224141203492