Search a number
-
+
22221021300 = 22352174357063
BaseRepresentation
bin10100101100011110…
…011110000001110100
32010100121202211200220
4110230132132001310
5331002040140200
614112545334340
71414441364442
oct245436360164
963317684626
1022221021300
119473207215
1243819373b0
13213188951a
14110b275b92
158a0c3b4a0
hex52c79e074

22221021300 has 72 divisors (see below), whose sum is σ = 68074767936. Its totient is φ = 5577039360.

The previous prime is 22221021293. The next prime is 22221021331. The reversal of 22221021300 is 312012222.

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 22221021300.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2173432 + ... + 2183631.

It is an arithmetic number, because the mean of its divisors is an integer number (945482888).

Almost surely, 222221021300 is an apocalyptic number.

22221021300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22221021300 is an abundant number, since it is smaller than the sum of its proper divisors (45853746636).

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

22221021300 is a wasteful number, since it uses less digits than its factorization.

22221021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4357097 (or 4357090 counting only the distinct ones).

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

Adding to 22221021300 its reverse (312012222), we get a palindrome (22533033522).

The spelling of 22221021300 in words is "twenty-two billion, two hundred twenty-one million, twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 4357063 8714126 13071189 17428252 21785315 26142378 43570630 52284756 65355945 74070071 87141260 108926575 130711890 148140142 217853150 222210213 261423780 296280284 326779725 370350355 435706300 444420426 653559450 740700710 888840852 1111051065 1307118900 1481401420 1851751775 2222102130 3703503550 4444204260 5555255325 7407007100 11110510650 22221021300