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22400011300 = 22526110734319
BaseRepresentation
bin10100110111001001…
…010000110000100100
32010211002120110211011
4110313021100300210
5331333400330200
614142421552004
71422043645252
oct246711206044
963732513734
1022400011300
11955524a037
124411875604
13215c998774
141126d495d2
158b17e55ba
hex537250c24

22400011300 has 72 divisors (see below), whose sum is σ = 49868058240. Its totient is φ = 8730499200.

The previous prime is 22400011253. The next prime is 22400011363. The reversal of 22400011300 is 311000422.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 635541 + ... + 669859.

It is an arithmetic number, because the mean of its divisors is an integer number (692611920).

Almost surely, 222400011300 is an apocalyptic number.

22400011300 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 22400011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24934029120).

22400011300 is an abundant number, since it is smaller than the sum of its proper divisors (27468046940).

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

22400011300 is a wasteful number, since it uses less digits than its factorization.

22400011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34501 (or 34494 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 22400011300 its reverse (311000422), we get a palindrome (22711011722).

The spelling of 22400011300 in words is "twenty-two billion, four hundred million, eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 107 122 214 244 305 428 535 610 1070 1220 1525 2140 2675 3050 5350 6100 6527 10700 13054 26108 32635 34319 65270 68638 130540 137276 163175 171595 326350 343190 652700 686380 857975 1715950 2093459 3431900 3672133 4186918 7344266 8373836 10467295 14688532 18360665 20934590 36721330 41869180 52336475 73442660 91803325 104672950 183606650 209345900 224000113 367213300 448000226 896000452 1120000565 2240001130 4480002260 5600002825 11200005650 22400011300