Search a number
-
+
224064040064 = 275197336829
BaseRepresentation
bin1101000010101101000…
…0011110110010000000
3210102100102000120122112
43100223100132302000
512132340343240224
6250533353554452
722121341626134
oct3205320366200
9712312016575
10224064040064
1187030344717
1237512715a28
131818a97b337
14abb802b3c4
155c65db530e
hex342b41ec80

224064040064 has 32 divisors (see below), whose sum is σ = 446464796700. Its totient is φ = 112010130432.

The previous prime is 224064040063. The next prime is 224064040097. The reversal of 224064040064 is 460040460422.

It can be written as a sum of positive squares in 2 ways, for example, as 220516646464 + 3547393600 = 469592^2 + 59560^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 224064040064.

It is not an unprimeable number, because it can be changed into a prime (224064040063) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 496802 + ... + 833630.

Almost surely, 2224064040064 is an apocalyptic number.

It is an amenable number.

224064040064 is a deficient number, since it is larger than the sum of its proper divisors (222400756636).

224064040064 is an equidigital number, since it uses as much as digits as its factorization.

224064040064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342040 (or 342028 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The spelling of 224064040064 in words is "two hundred twenty-four billion, sixty-four million, forty thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 5197 10394 20788 41576 83152 166304 332608 336829 665216 673658 1347316 2694632 5389264 10778528 21557056 43114112 1750500313 3501000626 7002001252 14004002504 28008005008 56016010016 112032020032 224064040064