Search a number
-
+
221128460288 = 211103912
BaseRepresentation
bin1100110111110001001…
…0001000100000000000
3210010202211012200020122
43031330102020200000
512110332341212123
6245330210155412
721655524620411
oct3157422104000
9703684180218
10221128460288
118586428412a
1236a33582b68
1317b10730998
14a9ba1d3808
155b432e8bc8
hex337c488800

221128460288 has 36 divisors (see below), whose sum is σ = 442191502935. Its totient is φ = 110553589760.

The previous prime is 221128460281. The next prime is 221128460291. The reversal of 221128460288 is 882064821122.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 110564230144 + 110564230144 = 332512^2 + 332512^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=332512.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221128460281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 21275573 + ... + 21285963.

Almost surely, 2221128460288 is an apocalyptic number.

It is an amenable number.

221128460288 is a deficient number, since it is larger than the sum of its proper divisors (221063042647).

221128460288 is an frugal number, since it uses more digits than its factorization.

221128460288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20804 (or 10393 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 44.

The spelling of 221128460288 in words is "two hundred twenty-one billion, one hundred twenty-eight million, four hundred sixty thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 10391 20782 41564 83128 166256 332512 665024 1330048 2660096 5320192 10640384 21280768 107972881 215945762 431891524 863783048 1727566096 3455132192 6910264384 13820528768 27641057536 55282115072 110564230144 221128460288