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23022252300 = 22352315634397
BaseRepresentation
bin10101011100001110…
…111011000100001100
32012102110102121000010
4111130032323010030
5334122144033200
614324250433220
71443340626045
oct253416730414
965373377003
1023022252300
1198445089a3
124566132810
13222b8807c8
1411858418cc
158eb258150
hex55c3bb10c

23022252300 has 144 divisors (see below), whose sum is σ = 68897590272. Its totient is φ = 5929324800.

The previous prime is 23022252283. The next prime is 23022252343. The reversal of 23022252300 is 325222032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5233702 + ... + 5238098.

It is an arithmetic number, because the mean of its divisors is an integer number (478455488).

Almost surely, 223022252300 is an apocalyptic number.

23022252300 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 23022252300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34448795136).

23022252300 is an abundant number, since it is smaller than the sum of its proper divisors (45875337972).

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

23022252300 is a wasteful number, since it uses less digits than its factorization.

23022252300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008 (or 5001 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

Adding to 23022252300 its reverse (325222032), we get a palindrome (23347474332).

The spelling of 23022252300 in words is "twenty-three billion, twenty-two million, two hundred fifty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 563 620 775 930 1126 1550 1689 1860 2252 2325 2815 3100 3378 4397 4650 5630 6756 8445 8794 9300 11260 13191 14075 16890 17453 17588 21985 26382 28150 33780 34906 42225 43970 52359 52764 56300 65955 69812 84450 87265 87940 104718 109925 131910 136307 168900 174530 209436 219850 261795 263820 272614 329775 349060 408921 436325 439700 523590 545228 659550 681535 817842 872650 1047180 1308975 1319100 1363070 1635684 1745300 2044605 2475511 2617950 2726140 3407675 4089210 4951022 5235900 6815350 7426533 8178420 9902044 10223025 12377555 13630700 14853066 20446050 24755110 29706132 37132665 40892100 49510220 61887775 74265330 76740841 123775550 148530660 153481682 185663325 230222523 247551100 306963364 371326650 383704205 460445046 742653300 767408410 920890092 1151112615 1534816820 1918521025 2302225230 3837042050 4604450460 5755563075 7674084100 11511126150 23022252300