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22124203400 = 23521353160553
BaseRepresentation
bin10100100110101101…
…001000110110001000
32010002212120222111202
4110212231020312020
5330302244002100
614055210243332
71412154424505
oct244655106610
963085528452
1022124203400
119423599522
124355426548
1321177bb220
1410dc4724ac
158974b47d5
hex526b48d88

22124203400 has 96 divisors (see below), whose sum is σ = 56441153160. Its totient is φ = 8014755840.

The previous prime is 22124203379. The next prime is 22124203403. The reversal of 22124203400 is 430242122.

It can be written as a sum of positive squares in 12 ways, for example, as 2657814916 + 19466388484 = 51554^2 + 139522^2 .

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

It is not an unprimeable number, because it can be changed into a prime (22124203403) 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, 57524 + ... + 218076.

Almost surely, 222124203400 is an apocalyptic number.

22124203400 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 22124203400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28220576580).

22124203400 is an abundant number, since it is smaller than the sum of its proper divisors (34316949760).

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

22124203400 is a wasteful number, since it uses less digits than its factorization.

22124203400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160635 (or 160626 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22124203400 its reverse (430242122), we get a palindrome (22554445522).

The spelling of 22124203400 in words is "twenty-two billion, one hundred twenty-four million, two hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 53 65 100 104 106 130 200 212 260 265 325 424 520 530 650 689 1060 1300 1325 1378 2120 2600 2650 2756 3445 5300 5512 6890 10600 13780 17225 27560 34450 68900 137800 160553 321106 642212 802765 1284424 1605530 2087189 3211060 4013825 4174378 6422120 8027650 8348756 8509309 10435945 16055300 16697512 17018618 20871890 32110600 34037236 41743780 42546545 52179725 68074472 83487560 85093090 104359450 110621017 170186180 208718900 212732725 221242034 340372360 417437800 425465450 442484068 553105085 850930900 884968136 1106210170 1701861800 2212420340 2765525425 4424840680 5531050850 11062101700 22124203400