Search a number
-
+
22102312200 = 2335273504619
BaseRepresentation
bin10100100101011001…
…101000010100001000
32010001100101210102120
4110211121220110020
5330231142442300
614053105131240
71411500360663
oct244531502410
963040353376
1022102312200
1194121a7321
12434a029b20
1321130c5057
1410d95b46da
158955dd3a0
hex525668508

22102312200 has 96 divisors (see below), whose sum is σ = 69455896800. Its totient is φ = 5813199360.

The previous prime is 22102312189. The next prime is 22102312217. The reversal of 22102312200 is 221320122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22102312200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208510 + ... + 296109.

It is an arithmetic number, because the mean of its divisors is an integer number (723498925).

Almost surely, 222102312200 is an apocalyptic number.

22102312200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22102312200 is an abundant number, since it is smaller than the sum of its proper divisors (47353584600).

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

22102312200 is a wasteful number, since it uses less digits than its factorization.

22102312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504711 (or 504702 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22102312200 its reverse (221320122), we get a palindrome (22323632322).

The spelling of 22102312200 in words is "twenty-two billion, one hundred two million, three hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 73 75 100 120 146 150 200 219 292 300 365 438 584 600 730 876 1095 1460 1752 1825 2190 2920 3650 4380 5475 7300 8760 10950 14600 21900 43800 504619 1009238 1513857 2018476 2523095 3027714 4036952 5046190 6055428 7569285 10092380 12110856 12615475 15138570 20184760 25230950 30277140 36837187 37846425 50461900 60554280 73674374 75692850 100923800 110511561 147348748 151385700 184185935 221023122 294697496 302771400 368371870 442046244 552557805 736743740 884092488 920929675 1105115610 1473487480 1841859350 2210231220 2762789025 3683718700 4420462440 5525578050 7367437400 11051156100 22102312200