Search a number
-
+
556776220 = 22572111329137
BaseRepresentation
bin100001001011111…
…011101100011100
31102210200011101111
4201023323230130
52120013314340
6131125351404
716540343200
oct4113735434
91383604344
10556776220
11266316240
12136568564
138b4738b0
1453d34b00
1533d30aea
hex212fbb1c

556776220 has 288 divisors, whose sum is σ = 1665074880. Its totient is φ = 153538560.

The previous prime is 556776211. The next prime is 556776271. The reversal of 556776220 is 22677655.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4063992 + ... + 4064128.

It is an arithmetic number, because the mean of its divisors is an integer number (5781510).

Almost surely, 2556776220 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 556776220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832537440).

556776220 is an abundant number, since it is smaller than the sum of its proper divisors (1108298660).

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

556776220 is a wasteful number, since it uses less digits than its factorization.

556776220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 40.

The square root of 556776220 is about 23596.1060346829. The cubic root of 556776220 is about 822.6723344942.

It can be divided in two parts, 5 and 56776220, that added together give a square (56776225 = 75352).

The spelling of 556776220 in words is "five hundred fifty-six million, seven hundred seventy-six thousand, two hundred twenty".