Search a number
-
+
22221121000 = 2353131709317
BaseRepresentation
bin10100101100011110…
…110110010111101000
32010100121221220110111
4110230132312113220
5331002101333000
614112551424104
71414442261221
oct245436662750
963317856414
1022221121000
119473275111
124381985034
1321318c2a10
14110b2a0248
158a0c5acba
hex52c7b65e8

22221121000 has 64 divisors (see below), whose sum is σ = 55997257680. Its totient is φ = 8204716800.

The previous prime is 22221120983. The next prime is 22221121033. The reversal of 22221121000 is 12112222.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2789318596 + 19431802404 = 52814^2 + 139398^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 841659 + ... + 867658.

Almost surely, 222221121000 is an apocalyptic number.

22221121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22221121000 is an abundant number, since it is smaller than the sum of its proper divisors (33776136680).

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

22221121000 is a wasteful number, since it uses less digits than its factorization.

22221121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709351 (or 1709337 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22221121000 its reverse (12112222), we get a palindrome (22233233222).

The spelling of 22221121000 in words is "twenty-two billion, two hundred twenty-one million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 1709317 3418634 6837268 8546585 13674536 17093170 22221121 34186340 42732925 44442242 68372680 85465850 88884484 111105605 170931700 177768968 213664625 222211210 341863400 427329250 444422420 555528025 854658500 888844840 1111056050 1709317000 2222112100 2777640125 4444224200 5555280250 11110560500 22221121000