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2245393696 = 257136011283
BaseRepresentation
bin1000010111010101…
…1111110100100000
312210111002211002111
42011311133310200
514044310044241
61010450325104
7106433350210
oct20565376440
95714084074
102245393696
11a52514577
12527b89794
1329a266230
141742d6240
15d21d6c81
hex85d5fd20

2245393696 has 96 divisors (see below), whose sum is σ = 5454062208. Its totient is φ = 886118400.

The previous prime is 2245393691. The next prime is 2245393763. The reversal of 2245393696 is 6963935422.

It is a happy number.

2245393696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2245393691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1749471 + ... + 1750753.

It is an arithmetic number, because the mean of its divisors is an integer number (56813148).

Almost surely, 22245393696 is an apocalyptic number.

2245393696 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2245393696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727031104).

2245393696 is an abundant number, since it is smaller than the sum of its proper divisors (3208668512).

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

2245393696 is a wasteful number, since it uses less digits than its factorization.

2245393696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1906 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 49.

The square root of 2245393696 is about 47385.5853187443. The cubic root of 2245393696 is about 1309.4758690288.

The spelling of 2245393696 in words is "two billion, two hundred forty-five million, three hundred ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 601 728 1202 1283 1456 2404 2566 2912 4207 4808 5132 7813 8414 8981 9616 10264 15626 16679 16828 17962 19232 20528 31252 33358 33656 35924 41056 54691 62504 66716 67312 71848 109382 116753 125008 133432 134624 143696 218764 233506 250016 266864 287392 437528 467012 533728 771083 875056 934024 1542166 1750112 1868048 3084332 3736096 5397581 6168664 10024079 10795162 12337328 20048158 21590324 24674656 40096316 43180648 70168553 80192632 86361296 140337106 160385264 172722592 280674212 320770528 561348424 1122696848 2245393696