Search a number
-
+
2556122430 = 2353713916567
BaseRepresentation
bin1001100001011011…
…0101010100111110
320121010210110210010
42120112311110332
520213331404210
61101350324050
7120225452661
oct23026652476
96533713703
102556122430
1110a1956684
125b4059626
1331974c4a4
141a369d6d8
15ee614920
hex985b553e

2556122430 has 64 divisors (see below), whose sum is σ = 6346206720. Its totient is φ = 658399104.

The previous prime is 2556122423. The next prime is 2556122449. The reversal of 2556122430 is 342216552.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 146007 + ... + 162573.

It is an arithmetic number, because the mean of its divisors is an integer number (99159480).

Almost surely, 22556122430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2556122430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173103360).

2556122430 is an abundant number, since it is smaller than the sum of its proper divisors (3790084290).

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

2556122430 is a wasteful number, since it uses less digits than its factorization.

2556122430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16753.

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 2556122430 is about 50558.1094385461. The cubic root of 2556122430 is about 1367.2897258868.

Adding to 2556122430 its reverse (342216552), we get a palindrome (2898338982).

It can be divided in two parts, 2556122 and 430, that added together give a palindrome (2556552).

The spelling of 2556122430 in words is "two billion, five hundred fifty-six million, one hundred twenty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 139 185 222 278 370 417 555 695 834 1110 1390 2085 4170 5143 10286 15429 16567 25715 30858 33134 49701 51430 77145 82835 99402 154290 165670 248505 497010 612979 1225958 1838937 2302813 3064895 3677874 4605626 6129790 6908439 9194685 11514065 13816878 18389370 23028130 34542195 69084390 85204081 170408162 255612243 426020405 511224486 852040810 1278061215 2556122430