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2256243400 = 235217663601
BaseRepresentation
bin1000011001111011…
…1000101011001000
312211020112001002101
42012132320223020
514110044242100
61011515043144
7106624516045
oct20636705310
95736461071
102256243400
11a58655074
1252b7404b4
1329c594788
1417591c1cc
15d312b86a
hex867b8ac8

2256243400 has 48 divisors (see below), whose sum is σ = 5554348740. Its totient is φ = 849408000.

The previous prime is 2256243347. The next prime is 2256243401. The reversal of 2256243400 is 43426522.

It can be written as a sum of positive squares in 6 ways, for example, as 411197284 + 1845046116 = 20278^2 + 42954^2 .

It is not an unprimeable number, because it can be changed into a prime (2256243401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 328401 + ... + 335200.

Almost surely, 22256243400 is an apocalyptic number.

2256243400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2256243400 is an abundant number, since it is smaller than the sum of its proper divisors (3298105340).

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

2256243400 is a wasteful number, since it uses less digits than its factorization.

2256243400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663634 (or 663625 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 2256243400 is about 47499.9305262650. The cubic root of 2256243400 is about 1311.5816027189.

Adding to 2256243400 its reverse (43426522), we get a palindrome (2299669922).

The spelling of 2256243400 in words is "two billion, two hundred fifty-six million, two hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 663601 1327202 2654404 3318005 5308808 6636010 11281217 13272020 16590025 22562434 26544040 33180050 45124868 56406085 66360100 90249736 112812170 132720200 225624340 282030425 451248680 564060850 1128121700 2256243400