Search a number
-
+
223506016 = 25292271061
BaseRepresentation
bin11010101001001…
…10111001100000
3120120120021121121
431110212321200
5424204143031
634102302024
75352525016
oct1524467140
9516507547
10223506016
11105188418
1262a27914
13373c74a6
14219808b6
151494e011
hexd526e60

223506016 has 48 divisors (see below), whose sum is σ = 457637040. Its totient is φ = 107322880.

The previous prime is 223506007. The next prime is 223506029. The reversal of 223506016 is 610605322.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210126 + ... + 211186.

It is an arithmetic number, because the mean of its divisors is an integer number (9534105).

Almost surely, 2223506016 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 223506016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228818520).

223506016 is an abundant number, since it is smaller than the sum of its proper divisors (234131024).

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

223506016 is a wasteful number, since it uses less digits than its factorization.

223506016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 223506016 is about 14950.1175915108. The cubic root of 223506016 is about 606.8710293805.

The spelling of 223506016 in words is "two hundred twenty-three million, five hundred six thousand, sixteen".

Divisors: 1 2 4 8 16 29 32 58 116 227 232 454 464 908 928 1061 1816 2122 3632 4244 6583 7264 8488 13166 16976 26332 30769 33952 52664 61538 105328 123076 210656 240847 246152 481694 492304 963388 984608 1926776 3853552 6984563 7707104 13969126 27938252 55876504 111753008 223506016