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26223800 = 23521967103
BaseRepresentation
bin110010000001…
…0010010111000
31211100022021212
41210002102320
523203130200
62334022252
7435620141
oct144022270
954308255
1026223800
1113891369
128947988
135582255
1436a8ac8
152480035
hex19024b8

26223800 has 96 divisors (see below), whose sum is σ = 65769600. Its totient is φ = 9694080.

The previous prime is 26223773. The next prime is 26223803. The reversal of 26223800 is 832262.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26223803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254549 + ... + 254651.

It is an arithmetic number, because the mean of its divisors is an integer number (685100).

Almost surely, 226223800 is an apocalyptic number.

26223800 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 26223800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32884800).

26223800 is an abundant number, since it is smaller than the sum of its proper divisors (39545800).

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

26223800 is a wasteful number, since it uses less digits than its factorization.

26223800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 26223800 is about 5120.9178864731. The cubic root of 26223800 is about 297.0971880538.

The spelling of 26223800 in words is "twenty-six million, two hundred twenty-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 67 76 95 100 103 134 152 190 200 206 268 335 380 412 475 515 536 670 760 824 950 1030 1273 1340 1675 1900 1957 2060 2546 2575 2680 3350 3800 3914 4120 5092 5150 6365 6700 6901 7828 9785 10184 10300 12730 13400 13802 15656 19570 20600 25460 27604 31825 34505 39140 48925 50920 55208 63650 69010 78280 97850 127300 131119 138020 172525 195700 254600 262238 276040 345050 391400 524476 655595 690100 1048952 1311190 1380200 2622380 3277975 5244760 6555950 13111900 26223800