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22023413300 = 22527175334919
BaseRepresentation
bin10100100000101100…
…101001111000110100
32002211211221022111002
4110200230221320310
5330100443211200
614041210102432
71406521632020
oct244054517064
962754838432
1022023413300
119381708419
12432771aa18
1320cc95bc05
1410ccd17380
1588d705bd5
hex520b29e34

22023413300 has 144 divisors (see below), whose sum is σ = 58923728640. Its totient is φ = 6972426240.

The previous prime is 22023413273. The next prime is 22023413303. The reversal of 22023413300 is 331432022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22023413303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 613241 + ... + 648159.

It is an arithmetic number, because the mean of its divisors is an integer number (409192560).

Almost surely, 222023413300 is an apocalyptic number.

22023413300 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 22023413300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29461864320).

22023413300 is an abundant number, since it is smaller than the sum of its proper divisors (36900315340).

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

22023413300 is a wasteful number, since it uses less digits than its factorization.

22023413300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35010 (or 35003 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 22023413300 its reverse (331432022), we get a palindrome (22354845322).

The spelling of 22023413300 in words is "twenty-two billion, twenty-three million, four hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 53 68 70 85 100 106 119 140 170 175 212 238 265 340 350 371 425 476 530 595 700 742 850 901 1060 1190 1325 1484 1700 1802 1855 2380 2650 2975 3604 3710 4505 5300 5950 6307 7420 9010 9275 11900 12614 18020 18550 22525 25228 31535 34919 37100 45050 63070 69838 90100 126140 139676 157675 174595 244433 315350 349190 488866 593623 630700 698380 872975 977732 1187246 1222165 1745950 1850707 2374492 2444330 2968115 3491900 3701414 4155361 4888660 5936230 6110825 7402828 8310722 9253535 11872460 12221650 12954949 14840575 16621444 18507070 20776805 24443300 25909898 29681150 31462019 37014140 41553610 46267675 51819796 59362300 62924038 64774745 83107220 92535350 103884025 125848076 129549490 157310095 185070700 207768050 220234133 259098980 314620190 323873725 415536100 440468266 629240380 647747450 786550475 880936532 1101170665 1295494900 1573100950 2202341330 3146201900 4404682660 5505853325 11011706650 22023413300