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2212249644 = 223611174057
BaseRepresentation
bin1000001111011100…
…0100000000101100
312201011201221000000
42003313010000230
514012313442034
61003304104300
7105551545263
oct20367040054
95634657000
102212249644
11a358369a0
12518a65090
13293430177
1416db495da
15ce33b599
hex83dc402c

2212249644 has 168 divisors, whose sum is σ = 6706315728. Its totient is φ = 630789120.

The previous prime is 2212249631. The next prime is 2212249679. The reversal of 2212249644 is 4469422122.

2212249644 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 2 + 4 + 9 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 2212249599 and 2212249608.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 543264 + ... + 547320.

It is an arithmetic number, because the mean of its divisors is an integer number (39918546).

Almost surely, 22212249644 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 2212249644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3353157864).

2212249644 is an abundant number, since it is smaller than the sum of its proper divisors (4494066084).

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

2212249644 is a wasteful number, since it uses less digits than its factorization.

2212249644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4107 (or 4090 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 2212249644 is about 47034.5579760244. The cubic root of 2212249644 is about 1303.0008868286. Note that the first 3 decimals are identical.

The spelling of 2212249644 in words is "two billion, two hundred twelve million, two hundred forty-nine thousand, six hundred forty-four".