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2200212112 = 24723977069
BaseRepresentation
bin1000001100100100…
…1001001010010000
312200100002100121111
42003021021022100
514001223241422
61002154103104
7105344331400
oct20311111220
95610070544
102200212112
11a29a64a1a
12514a1aa94
13290aa7077
1416c2d4800
15cd25ea77
hex83249290

2200212112 has 60 divisors (see below), whose sum is σ = 4972090620. Its totient is φ = 940439808.

The previous prime is 2200212109. The next prime is 2200212127. The reversal of 2200212112 is 2112120022.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1123322256 + 1076889856 = 33516^2 + 32816^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2200212092 and 2200212101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307714 + ... + 314782.

It is an arithmetic number, because the mean of its divisors is an integer number (82868177).

Almost surely, 22200212112 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 2200212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486045310).

2200212112 is an abundant number, since it is smaller than the sum of its proper divisors (2771878508).

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

2200212112 is a wasteful number, since it uses less digits than its factorization.

2200212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7488 (or 7475 counting only the distinct ones).

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

The square root of 2200212112 is about 46906.4186652531. The cubic root of 2200212112 is about 1300.6332441525.

Adding to 2200212112 its reverse (2112120022), we get a palindrome (4312332134).

The spelling of 2200212112 in words is "two billion, two hundred million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 397 784 794 1588 2779 3176 5558 6352 7069 11116 14138 19453 22232 28276 38906 44464 49483 56552 77812 98966 113104 155624 197932 311248 346381 395864 692762 791728 1385524 2771048 2806393 5542096 5612786 11225572 19644751 22451144 39289502 44902288 78579004 137513257 157158008 275026514 314316016 550053028 1100106056 2200212112