Search a number
-
+
245716224 = 2831324611
BaseRepresentation
bin11101010010101…
…01010100000000
3122010100200021220
432221111110000
51000400404344
640214315040
76042360555
oct1651252400
9563320256
10245716224
11116778266
126a358a80
133bba2920
14248c2a2c
1516889c19
hexea55500

245716224 has 72 divisors (see below), whose sum is σ = 704296992. Its totient is φ = 75601920.

The previous prime is 245716201. The next prime is 245716241. The reversal of 245716224 is 422617542.

It is a nialpdrome in base 4 and base 16.

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 7 ways as a sum of consecutive naturals, for example, 2322 + ... + 22289.

Almost surely, 2245716224 is an apocalyptic number.

245716224 is a gapful number since it is divisible by the number (24) 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 245716224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352148496).

245716224 is an abundant number, since it is smaller than the sum of its proper divisors (458580768).

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

245716224 is a wasteful number, since it uses less digits than its factorization.

245716224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24643 (or 24629 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 245716224 is about 15675.3380824785. The cubic root of 245716224 is about 626.3416291360.

It can be divided in two parts, 2457 and 16224, that added together give a palindrome (18681).

The spelling of 245716224 in words is "two hundred forty-five million, seven hundred sixteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 9984 24611 49222 73833 98444 147666 196888 295332 319943 393776 590664 639886 787552 959829 1181328 1279772 1575104 1919658 2362656 2559544 3150208 3839316 4725312 5119088 6300416 7678632 9450624 10238176 15357264 18901248 20476352 30714528 40952704 61429056 81905408 122858112 245716224