Search a number
-
+
245895000 = 2335413297
BaseRepresentation
bin11101010100000…
…00111101011000
3122010200202112020
432222000331120
51000422120000
640222214440
76044034021
oct1652007530
9563622466
10245895000
1111688a60a
126a424420
133bc36100
142492bc48
15168c2ba0
hexea80f58

245895000 has 240 divisors, whose sum is σ = 840387240. Its totient is φ = 59904000.

The previous prime is 245894983. The next prime is 245895043. The reversal of 245895000 is 598542.

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 59 ways as a sum of consecutive naturals, for example, 2534952 + ... + 2535048.

Almost surely, 2245895000 is an apocalyptic number.

245895000 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 245895000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420193620).

245895000 is an abundant number, since it is smaller than the sum of its proper divisors (594492240).

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

245895000 is a wasteful number, since it uses less digits than its factorization.

245895000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 245895000 is about 15681.0395063593. The cubic root of 245895000 is about 626.4934949804.

The spelling of 245895000 in words is "two hundred forty-five million, eight hundred ninety-five thousand".