Search a number
-
+
1322855248 = 241121352561
BaseRepresentation
bin100111011011001…
…0010101101010000
310102012012000020211
41032312102231100
510202122331443
6335133213504
744532040561
oct11666225520
93365160224
101322855248
11619798800
1230b031294
131810aabb0
14c7990168
157b20719d
hex4ed92b50

1322855248 has 60 divisors (see below), whose sum is σ = 3033983764. Its totient is φ = 555033600.

The previous prime is 1322855207. The next prime is 1322855257. The reversal of 1322855248 is 8425582231.

It can be written as a sum of positive squares in 2 ways, for example, as 667085584 + 655769664 = 25828^2 + 25608^2 .

It is a super-2 number, since 2×13228552482 = 3499892014322283008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1322855248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1113 + ... + 51448.

Almost surely, 21322855248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1322855248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516991882).

1322855248 is an abundant number, since it is smaller than the sum of its proper divisors (1711128516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1322855248 is a wasteful number, since it uses less digits than its factorization.

1322855248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52604 (or 52587 counting only the distinct ones).

The product of its digits is 153600, while the sum is 40.

The square root of 1322855248 is about 36371.0770805595. The cubic root of 1322855248 is about 1097.7516743720.

The spelling of 1322855248 in words is "one billion, three hundred twenty-two million, eight hundred fifty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 121 143 176 208 242 286 484 572 968 1144 1573 1936 2288 3146 6292 12584 25168 52561 105122 210244 420488 578171 683293 840976 1156342 1366586 2312684 2733172 4625368 5466344 6359881 7516223 9250736 10932688 12719762 15032446 25439524 30064892 50879048 60129784 82678453 101758096 120259568 165356906 330713812 661427624 1322855248