Search a number
-
+
122828221 = 10110311807
BaseRepresentation
bin1110101001000…
…11010110111101
322120010022122101
413110203112331
5222421000341
620104345101
73021010525
oct724432675
9276108571
10122828221
116337372a
1235175191
131c5a7329
1412454685
15abb3831
hex75235bd

122828221 has 8 divisors (see below), whose sum is σ = 125259264. Its totient is φ = 120421200.

The previous prime is 122828207. The next prime is 122828239.

122828221 is nontrivially palindromic in base 10.

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 122828221 - 213 = 122820029 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122828221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122828291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4500 + ... + 16306.

It is an arithmetic number, because the mean of its divisors is an integer number (15657408).

Almost surely, 2122828221 is an apocalyptic number.

It is an amenable number.

122828221 is a deficient number, since it is larger than the sum of its proper divisors (2431043).

122828221 is a wasteful number, since it uses less digits than its factorization.

122828221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12011.

The product of its digits is 2048, while the sum is 28.

The square root of 122828221 is about 11082.7894051994. The cubic root of 122828221 is about 497.0873606767.

It can be divided in two parts, 12282 and 8221, that added together give a triangular number (20503 = T202).

The spelling of 122828221 in words is "one hundred twenty-two million, eight hundred twenty-eight thousand, two hundred twenty-one".

Divisors: 1 101 103 10403 11807 1192507 1216121 122828221