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2212142412 = 2231936726437
BaseRepresentation
bin1000001111011010…
…1001110101001100
312201011112110220110
42003312221311030
514012302024122
61003301520020
7105550620534
oct20366516514
95634473813
102212142412
11a35773377
12518a13010
132933c340c
1416db1c4c4
15ce31990c
hex83da9d4c

2212142412 has 48 divisors (see below), whose sum is σ = 5448343040. Its totient is φ = 696641472.

The previous prime is 2212142399. The next prime is 2212142419. The reversal of 2212142412 is 2142412122.

2212142412 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2212142419) 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, 70458 + ... + 96894.

Almost surely, 22212142412 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 2212142412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724171520).

2212142412 is an abundant number, since it is smaller than the sum of its proper divisors (3236200628).

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

2212142412 is a wasteful number, since it uses less digits than its factorization.

2212142412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26830 (or 26828 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 2212142412 is about 47033.4180344146. The cubic root of 2212142412 is about 1302.9798335012.

Adding to 2212142412 its reverse (2142412122), we get a palindrome (4354554534).

The spelling of 2212142412 in words is "two billion, two hundred twelve million, one hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 367 734 1101 1468 2202 4404 6973 13946 20919 26437 27892 41838 52874 79311 83676 105748 158622 317244 502303 1004606 1506909 2009212 3013818 6027636 9702379 19404758 29107137 38809516 58214274 116428548 184345201 368690402 553035603 737380804 1106071206 2212142412