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2248823000 = 23533760779
BaseRepresentation
bin1000011000001010…
…0101000011011000
312210201120001012202
42012002211003120
514101144314000
61011052025332
7106504452164
oct20602450330
95721501182
102248823000
11a54447006
12529162248
1329ab970c8
14174949ca4
15d2662dd5
hex860a50d8

2248823000 has 64 divisors (see below), whose sum is σ = 5404557600. Its totient is φ = 875203200.

The previous prime is 2248822921. The next prime is 2248823023. The reversal of 2248823000 is 3288422.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6611 + ... + 67389.

Almost surely, 22248823000 is an apocalyptic number.

2248823000 is a gapful number since it is divisible by the number (20) 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 2248823000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702278800).

2248823000 is an abundant number, since it is smaller than the sum of its proper divisors (3155734600).

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

2248823000 is a wasteful number, since it uses less digits than its factorization.

2248823000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60837 (or 60823 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 2248823000 is about 47421.7566102311. The cubic root of 2248823000 is about 1310.1421674272.

The spelling of 2248823000 in words is "two billion, two hundred forty-eight million, eight hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 125 148 185 200 250 296 370 500 740 925 1000 1480 1850 3700 4625 7400 9250 18500 37000 60779 121558 243116 303895 486232 607790 1215580 1519475 2248823 2431160 3038950 4497646 6077900 7597375 8995292 11244115 12155800 15194750 17990584 22488230 30389500 44976460 56220575 60779000 89952920 112441150 224882300 281102875 449764600 562205750 1124411500 2248823000