Search a number
-
+
9828410221 = 731379311941
BaseRepresentation
bin10010010011101000…
…11010001101101101
3221100221212222012101
421021310122031231
5130112033111341
64303132535101
7465362052130
oct111164321555
927327788171
109828410221
114193977083
121aa3621491
13c0829c666
14693458217
153c7cb6831
hex249d1a36d

9828410221 has 16 divisors (see below), whose sum is σ = 11598834688. Its totient is φ = 8149766400.

The previous prime is 9828410183. The next prime is 9828410227. The reversal of 9828410221 is 1220148289.

It is a happy number.

9828410221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 9828410221 - 215 = 9828377453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9828410227) 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 15 ways as a sum of consecutive naturals, for example, 817111 + ... + 829051.

It is an arithmetic number, because the mean of its divisors is an integer number (724927168).

Almost surely, 29828410221 is an apocalyptic number.

It is an amenable number.

9828410221 is a deficient number, since it is larger than the sum of its proper divisors (1770424467).

9828410221 is a wasteful number, since it uses less digits than its factorization.

9828410221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15772.

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 9828410221 is about 99138.3388049245. The cubic root of 9828410221 is about 2142.0408966965.

The spelling of 9828410221 in words is "nine billion, eight hundred twenty-eight million, four hundred ten thousand, two hundred twenty-one".

Divisors: 1 7 31 217 3793 11941 26551 83587 117583 370171 823081 2591197 45292213 317045491 1404058603 9828410221