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2256301120 = 2657050941
BaseRepresentation
bin1000011001111100…
…0110110001000000
312211020121222021011
42012133012301000
514110103113440
61011520210304
7106625146243
oct20637066100
95736558234
102256301120
11a58694477
1252b769994
1329c5b4b28
1417593525a
15d313d9ea
hex867c6c40

2256301120 has 28 divisors (see below), whose sum is σ = 5372817804. Its totient is φ = 902520320.

The previous prime is 2256301111. The next prime is 2256301121. The reversal of 2256301120 is 211036522.

It can be written as a sum of positive squares in 2 ways, for example, as 1745902656 + 510398464 = 41784^2 + 22592^2 .

It is a super-2 number, since 2×22563011202 = 10181789488226508800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2256301091 and 2256301100.

It is not an unprimeable number, because it can be changed into a prime (2256301121) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 3525151 + ... + 3525790.

Almost surely, 22256301120 is an apocalyptic number.

2256301120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2256301120 is an abundant number, since it is smaller than the sum of its proper divisors (3116516684).

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

2256301120 is an equidigital number, since it uses as much as digits as its factorization.

2256301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7050958 (or 7050948 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 2256301120 is about 47500.5381022152. The cubic root of 2256301120 is about 1311.5927870685.

Adding to 2256301120 its reverse (211036522), we get a palindrome (2467337642).

The spelling of 2256301120 in words is "two billion, two hundred fifty-six million, three hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 7050941 14101882 28203764 35254705 56407528 70509410 112815056 141018820 225630112 282037640 451260224 564075280 1128150560 2256301120