Search a number
-
+
223379266560 = 2103519937297
BaseRepresentation
bin1101000000001001110…
…0010001110000000000
3210100120200111110222220
43100002130101300000
512124440043012220
6250341412531040
722065355303002
oct3200234216000
9710520443886
10223379266560
11868098551aa
1237361320a80
13180abb40708
14ab510d8372
155c25bee540
hex3402711c00

223379266560 has 176 divisors, whose sum is σ = 714921071136. Its totient is φ = 59529756672.

The previous prime is 223379266553. The next prime is 223379266573. The reversal of 223379266560 is 65662973322.

It is a happy number.

223379266560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30608832 + ... + 30616128.

Almost surely, 2223379266560 is an apocalyptic number.

223379266560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223379266560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357460535568).

223379266560 is an abundant number, since it is smaller than the sum of its proper divisors (491541804576).

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

223379266560 is a wasteful number, since it uses less digits than its factorization.

223379266560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9318 (or 9300 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 51.

The spelling of 223379266560 in words is "two hundred twenty-three billion, three hundred seventy-nine million, two hundred sixty-six thousand, five hundred sixty".