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22231030000 = 24543171713
BaseRepresentation
bin10100101101000100…
…101001100011110000
32010101022121100001111
4110231010221203300
5331012120430000
614113544043104
71414622431354
oct245504514360
963338540044
1022231030000
119478922973
124385163494
13213398202a
14110c71d464
158a1a66cba
hex52d1298f0

22231030000 has 100 divisors (see below), whose sum is σ = 55560564928. Its totient is φ = 8605440000.

The previous prime is 22231029979. The next prime is 22231030001. The reversal of 22231030000 is 3013222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22231030001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 274144 + ... + 345856.

Almost surely, 222231030000 is an apocalyptic number.

22231030000 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 22231030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27780282464).

22231030000 is an abundant number, since it is smaller than the sum of its proper divisors (33329534928).

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

22231030000 is an equidigital number, since it uses as much as digits as its factorization.

22231030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71772 (or 71751 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 22231030000 its reverse (3013222), we get a palindrome (22234043222).

The spelling of 22231030000 in words is "twenty-two billion, two hundred thirty-one million, thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 625 775 1000 1240 1250 1550 2000 2480 2500 3100 3875 5000 6200 7750 10000 12400 15500 19375 31000 38750 62000 71713 77500 143426 155000 286852 310000 358565 573704 717130 1147408 1434260 1792825 2223103 2868520 3585650 4446206 5737040 7171300 8892412 8964125 11115515 14342600 17784824 17928250 22231030 28685200 35569648 35856500 44462060 44820625 55577575 71713000 88924120 89641250 111155150 143426000 177848240 179282500 222310300 277887875 358565000 444620600 555775750 717130000 889241200 1111551500 1389439375 2223103000 2778878750 4446206000 5557757500 11115515000 22231030000