Search a number
-
+
245927880 = 2333511127163
BaseRepresentation
bin11101010100010…
…00111111001000
3122010202102122000
432222020333020
51000424143010
640223031000
76044231622
oct1652107710
9563672560
10245927880
11116902290
126a43b460
133bc48073
1424939c12
15168cc7c0
hexea88fc8

245927880 has 256 divisors, whose sum is σ = 906854400. Its totient is φ = 58786560.

The previous prime is 245927839. The next prime is 245927911. The reversal of 245927880 is 88729542.

245927880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2459278802 = 120961044322588800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1508679 + ... + 1508841.

It is an arithmetic number, because the mean of its divisors is an integer number (3542400).

Almost surely, 2245927880 is an apocalyptic number.

245927880 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 245927880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453427200).

245927880 is an abundant number, since it is smaller than the sum of its proper divisors (660926520).

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

245927880 is a wasteful number, since it uses less digits than its factorization.

245927880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 245927880 is about 15682.0878711988. The cubic root of 245927880 is about 626.5214177225.

The spelling of 245927880 in words is "two hundred forty-five million, nine hundred twenty-seven thousand, eight hundred eighty".