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2256602240 = 2753525941
BaseRepresentation
bin1000011010000001…
…0000010010000000
312211021012021022202
42012200100102000
514110142232430
61011530452332
7106630542164
oct20640202200
95737167282
102256602240
11a5887a732
1252b8940a8
1329c68bbc9
141759b2ca4
15d319cd45
hex86810480

2256602240 has 32 divisors (see below), whose sum is σ = 5394691260. Its totient is φ = 902640640.

The previous prime is 2256602191. The next prime is 2256602261. The reversal of 2256602240 is 422066522.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2062613056 + 193989184 = 45416^2 + 13928^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1762331 + ... + 1763610.

Almost surely, 22256602240 is an apocalyptic number.

2256602240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2256602240 is an abundant number, since it is smaller than the sum of its proper divisors (3138089020).

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

2256602240 is an equidigital number, since it uses as much as digits as its factorization.

2256602240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3525960 (or 3525948 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 2256602240 is about 47503.7076447723. The cubic root of 2256602240 is about 1311.6511317117.

Adding to 2256602240 its reverse (422066522), we get a palindrome (2678668762).

The spelling of 2256602240 in words is "two billion, two hundred fifty-six million, six hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 3525941 7051882 14103764 17629705 28207528 35259410 56415056 70518820 112830112 141037640 225660224 282075280 451320448 564150560 1128301120 2256602240