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2244400128 = 21032243533
BaseRepresentation
bin1000010111000110…
…1101010000000000
312210102020100011200
42011301231100000
514044031301003
61010413141200
7106422041415
oct20561552000
95712210150
102244400128
11a519a6043
1252778a800
13299ca8c19
1417411810c
15d208c6a3
hex85c6d400

2244400128 has 66 divisors (see below), whose sum is σ = 6480683274. Its totient is φ = 748130304.

The previous prime is 2244400097. The next prime is 2244400139. The reversal of 2244400128 is 8210044422.

2244400128 is a `hidden beast` number, since 2 + 244 + 400 + 12 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2239939584 + 4460544 = 47328^2 + 2112^2 .

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 5 ways as a sum of consecutive naturals, for example, 112551 + ... + 130982.

Almost surely, 22244400128 is an apocalyptic number.

It is an amenable number.

2244400128 is an abundant number, since it is smaller than the sum of its proper divisors (4236283146).

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

2244400128 is a wasteful number, since it uses less digits than its factorization.

2244400128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243559 (or 243538 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 2244400128 is about 47375.1002954083. The cubic root of 2244400128 is about 1309.2826964801.

The spelling of 2244400128 in words is "two billion, two hundred forty-four million, four hundred thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 243533 487066 730599 974132 1461198 1948264 2191797 2922396 3896528 4383594 5844792 7793056 8767188 11689584 15586112 17534376 23379168 31172224 35068752 46758336 62344448 70137504 93516672 124688896 140275008 187033344 249377792 280550016 374066688 561100032 748133376 1122200064 2244400128