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2240420256 = 25332593079
BaseRepresentation
bin1000010110001010…
…0001100110100000
312210010202010211000
42011202201212200
514042021422011
61010151552000
7106343154324
oct20542414640
95703663730
102240420256
11a4a727998
1252638b600
13299214579
1417379d984
15d1a53356
hex858a19a0

2240420256 has 48 divisors (see below), whose sum is σ = 6534561600. Its totient is φ = 746806464.

The previous prime is 2240420243. The next prime is 2240420267. The reversal of 2240420256 is 6520240422.

It is a happy number.

2240420256 is a `hidden beast` number, since 2 + 2 + 404 + 2 + 0 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×22404202563 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1295676 + ... + 1297403.

It is an arithmetic number, because the mean of its divisors is an integer number (136136700).

Almost surely, 22240420256 is an apocalyptic number.

It is an amenable number.

2240420256 is an abundant number, since it is smaller than the sum of its proper divisors (4294141344).

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

2240420256 is a wasteful number, since it uses less digits than its factorization.

2240420256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593098 (or 2593084 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2240420256 is about 47333.0778209066. The cubic root of 2240420256 is about 1308.5083454613.

Adding to 2240420256 its reverse (6520240422), we get a palindrome (8760660678).

The spelling of 2240420256 in words is "two billion, two hundred forty million, four hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2593079 5186158 7779237 10372316 15558474 20744632 23337711 31116948 41489264 46675422 62233896 70013133 82978528 93350844 124467792 140026266 186701688 248935584 280052532 373403376 560105064 746806752 1120210128 2240420256