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22221013200 = 2435253349387
BaseRepresentation
bin10100101100011110…
…011100000011010000
32010100121202102120220
4110230132130003100
5331002034410300
614112545233040
71414441332021
oct245436340320
963317672526
1022221013200
119473201121
124381932780
132131885929
14110b272c48
158a0c38da0
hex52c79c0d0

22221013200 has 120 divisors (see below), whose sum is σ = 72524563488. Its totient is φ = 5813783040.

The previous prime is 22221013181. The next prime is 22221013201. The reversal of 22221013200 is 231012222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 22221013200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22221013201) 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, 111094 + ... + 238293.

Almost surely, 222221013200 is an apocalyptic number.

22221013200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22221013200 is an abundant number, since it is smaller than the sum of its proper divisors (50303550288).

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

22221013200 is a wasteful number, since it uses less digits than its factorization.

22221013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349461 (or 349450 counting only the distinct ones).

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

Adding to 22221013200 its reverse (231012222), we get a palindrome (22452025422).

The spelling of 22221013200 in words is "twenty-two billion, two hundred twenty-one million, thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 53 60 75 80 100 106 120 150 159 200 212 240 265 300 318 400 424 530 600 636 795 848 1060 1200 1272 1325 1590 2120 2544 2650 3180 3975 4240 5300 6360 7950 10600 12720 15900 21200 31800 63600 349387 698774 1048161 1397548 1746935 2096322 2795096 3493870 4192644 5240805 5590192 6987740 8385288 8734675 10481610 13975480 16770576 17469350 18517511 20963220 26204025 27950960 34938700 37035022 41926440 52408050 55552533 69877400 74070044 83852880 92587555 104816100 111105066 139754800 148140088 185175110 209632200 222210132 277762665 296280176 370350220 419264400 444420264 462937775 555525330 740700440 888840528 925875550 1111050660 1388813325 1481400880 1851751100 2222101320 2777626650 3703502200 4444202640 5555253300 7407004400 11110506600 22221013200