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22901364541441 = 174833727869729
BaseRepresentation
bin1010011010100001000111…
…01100101100100000000001
310000002100102110201022211001
411031100203230230200001
511000203443310311231
6120412424105252001
74552366106511301
oct515204354544001
9100070373638731
1022901364541441
11732a461278911
12269a530794001
13ca1787c19279
14592609415601
1529aab507db61
hex14d423b2c801

22901364541441 has 8 divisors (see below), whose sum is σ = 24249006157320. Its totient is φ = 21553778761728.

The previous prime is 22901364541399. The next prime is 22901364541481. The reversal of 22901364541441 is 14414546310922.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16966951857216 + 5934412684225 = 4119096^2 + 2436065^2 .

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 22901364541441 - 27 = 22901364541313 is a prime.

It is a super-2 number, since 2×229013645414412 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22901364541391 and 22901364541400.

It is not an unprimeable number, because it can be changed into a prime (22901364541481) 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 7 ways as a sum of consecutive naturals, for example, 13113136 + ... + 14756593.

It is an arithmetic number, because the mean of its divisors is an integer number (3031125769665).

Almost surely, 222901364541441 is an apocalyptic number.

It is an amenable number.

22901364541441 is a deficient number, since it is larger than the sum of its proper divisors (1347641615879).

22901364541441 is a wasteful number, since it uses less digits than its factorization.

22901364541441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27918083.

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 22901364541441 in words is "twenty-two trillion, nine hundred one billion, three hundred sixty-four million, five hundred forty-one thousand, four hundred forty-one".

Divisors: 1 17 48337 821729 27869729 473785393 1347139090673 22901364541441