Search a number
-
+
2246075360 = 25517825763
BaseRepresentation
bin1000010111100000…
…0110001111100000
312210112101110011022
42011320012033200
514044443402420
61010513105012
7106442216444
oct20570061740
95715343138
102246075360
11a5293a731
12528258168
1329a444599
14174432824
15d22bdc25
hex85e063e0

2246075360 has 48 divisors (see below), whose sum is σ = 5618498256. Its totient is φ = 845580288.

The previous prime is 2246075357. The next prime is 2246075383. The reversal of 2246075360 is 635706422.

It is a self number, because there is not a number n which added to its sum of digits gives 2246075360.

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, 410162 + ... + 415601.

It is an arithmetic number, because the mean of its divisors is an integer number (117052047).

Almost surely, 22246075360 is an apocalyptic number.

2246075360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2246075360 is an abundant number, since it is smaller than the sum of its proper divisors (3372422896).

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

2246075360 is a wasteful number, since it uses less digits than its factorization.

2246075360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825795 (or 825787 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 2246075360 is about 47392.7775088146. Note that the first 3 decimals coincide. The cubic root of 2246075360 is about 1309.6083672847.

The spelling of 2246075360 in words is "two billion, two hundred forty-six million, seventy-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 825763 1651526 3303052 4128815 6606104 8257630 13212208 14037971 16515260 26424416 28075942 33030520 56151884 66061040 70189855 112303768 132122080 140379710 224607536 280759420 449215072 561518840 1123037680 2246075360