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2269753856 = 298353411
BaseRepresentation
bin1000011101001001…
…1011001000000000
312212011221102221122
42013102123020000
514122024110411
61013120411412
7110150406116
oct20722331000
95764842848
102269753856
11a65242737
12534176b68
132a2315126
14177637ab6
15d43e99db
hex8749b200

2269753856 has 40 divisors (see below), whose sum is σ = 4589799984. Its totient is φ = 1121182720.

The previous prime is 2269753853. The next prime is 2269753879. The reversal of 2269753856 is 6583579622.

It is a junction number, because it is equal to n+sod(n) for n = 2269753798 and 2269753807.

It is not an unprimeable number, because it can be changed into a prime (2269753853) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 15791 + ... + 69201.

Almost surely, 22269753856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2269753856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294899992).

2269753856 is an abundant number, since it is smaller than the sum of its proper divisors (2320046128).

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

2269753856 is an frugal number, since it uses more digits than its factorization.

2269753856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53512 (or 53496 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 53.

The square root of 2269753856 is about 47641.9337978634. The cubic root of 2269753856 is about 1314.1943251604.

The spelling of 2269753856 in words is "two billion, two hundred sixty-nine million, seven hundred fifty-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 83 128 166 256 332 512 664 1328 2656 5312 10624 21248 42496 53411 106822 213644 427288 854576 1709152 3418304 4433113 6836608 8866226 13673216 17732452 27346432 35464904 70929808 141859616 283719232 567438464 1134876928 2269753856