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22200011312 = 2419739710313
BaseRepresentation
bin10100101011001110…
…010100101000110000
32010022011020102102012
4110223032110220300
5330431200330222
614110515142052
71414064661023
oct245316245060
963264212365
1022200011312
119462367096
1243768a4928
13212a41148b
1411085671ba
1589de8b1e2
hex52b394a30

22200011312 has 80 divisors (see below), whose sum is σ = 46374219360. Its totient is φ = 10263822336.

The previous prime is 22200011311. The next prime is 22200011329. The reversal of 22200011312 is 21311000222.

It is a happy number.

It is a super-2 number, since 2×222000113122 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22200011311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2147468 + ... + 2157780.

It is an arithmetic number, because the mean of its divisors is an integer number (579677742).

Almost surely, 222200011312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22200011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23187109680).

22200011312 is an abundant number, since it is smaller than the sum of its proper divisors (24174208048).

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

22200011312 is a wasteful number, since it uses less digits than its factorization.

22200011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10510 (or 10504 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 22200011312 its reverse (21311000222), we get a palindrome (43511011534).

The spelling of 22200011312 in words is "twenty-two billion, two hundred million, eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 38 73 76 97 146 152 194 292 304 388 584 776 1168 1387 1552 1843 2774 3686 5548 7081 7372 10313 11096 14162 14744 20626 22192 28324 29488 41252 56648 82504 113296 134539 165008 195947 269078 391894 538156 752849 783788 1000361 1076312 1505698 1567576 2000722 2152624 3011396 3135152 4001444 6022792 8002888 12045584 14304131 16005776 19006859 28608262 38013718 57216524 73026353 76027436 114433048 146052706 152054872 228866096 292105412 304109744 584210824 1168421648 1387500707 2775001414 5550002828 11100005656 22200011312