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20221456141 = 612741120941
BaseRepresentation
bin10010110101010010…
…101110111100001101
31221012021020101222001
4102311102232330031
5312403143044031
613142315552301
71314051353425
oct226522567415
957167211861
1020221456141
118637537327
123b0415b691
131ba3535083
14d9b891485
157d5412861
hex4b54aef0d

20221456141 has 8 divisors (see below), whose sum is σ = 20560623768. Its totient is φ = 19882536000.

The previous prime is 20221456093. The next prime is 20221456159. The reversal of 20221456141 is 14165412202.

It can be written as a sum of positive squares in 4 ways, for example, as 1516790916 + 18704665225 = 38946^2 + 136765^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20221456141 - 221 = 20219358989 is a prime.

It is a super-2 number, since 2×202214561412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20221456741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106731 + ... + 227671.

It is an arithmetic number, because the mean of its divisors is an integer number (2570077971).

Almost surely, 220221456141 is an apocalyptic number.

It is an amenable number.

20221456141 is a deficient number, since it is larger than the sum of its proper divisors (339167627).

20221456141 is a wasteful number, since it uses less digits than its factorization.

20221456141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123743.

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 20221456141 its reverse (14165412202), we get a palindrome (34386868343).

The spelling of 20221456141 in words is "twenty billion, two hundred twenty-one million, four hundred fifty-six thousand, one hundred forty-one".

Divisors: 1 61 2741 120941 167201 7377401 331499281 20221456141