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1152220221 = 3610115649
BaseRepresentation
bin100010010101101…
…0111110000111101
32222022002212000000
41010223113300331
54324432021341
6310200024513
740360465425
oct10453276075
92868085000
101152220221
11541442119
12281a62139
13154935819
14ad053485
156b24d8b6
hex44ad7c3d

1152220221 has 28 divisors (see below), whose sum is σ = 1744755900. Its totient is φ = 760492800.

The previous prime is 1152220189. The next prime is 1152220241. The reversal of 1152220221 is 1220222511.

It can be written as a sum of positive squares in 2 ways, for example, as 702992196 + 449228025 = 26514^2 + 21195^2 .

It is not a de Polignac number, because 1152220221 - 25 = 1152220189 is a prime.

It is a super-2 number, since 2×11522202212 = 2655222875362577682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1152220194 and 1152220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152220241) 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 27 ways as a sum of consecutive naturals, for example, 65805 + ... + 81453.

Almost surely, 21152220221 is an apocalyptic number.

It is an amenable number.

1152220221 is a deficient number, since it is larger than the sum of its proper divisors (592535679).

1152220221 is an equidigital number, since it uses as much as digits as its factorization.

1152220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15768 (or 15753 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1152220221 is about 33944.3695036452. The cubic root of 1152220221 is about 1048.3633523037.

Adding to 1152220221 its reverse (1220222511), we get a palindrome (2372442732).

The spelling of 1152220221 in words is "one billion, one hundred fifty-two million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 27 81 101 243 303 729 909 2727 8181 15649 24543 46947 73629 140841 422523 1267569 1580549 3802707 4741647 11408121 14224941 42674823 128024469 384073407 1152220221