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2226142296 = 23327193761103
BaseRepresentation
bin1000010010110000…
…0011110001011000
312202010212202010200
42010230003301120
514024343023141
61004521542200
7106110616530
oct20454036130
95663782120
102226142296
11a42665724
12521644960
13296285781
141719244c0
15d0682ab6
hex84b03c58

2226142296 has 384 divisors, whose sum is σ = 7644748800. Its totient is φ = 571069440.

The previous prime is 2226142291. The next prime is 2226142297. The reversal of 2226142296 is 6922416222.

It is a happy number.

2226142296 is a `hidden beast` number, since 2 + 226 + 1 + 422 + 9 + 6 = 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 self number, because there is not a number n which added to its sum of digits gives 2226142296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226142291) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21612981 + ... + 21613083.

It is an arithmetic number, because the mean of its divisors is an integer number (19908200).

Almost surely, 22226142296 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 2226142296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3822374400).

2226142296 is an abundant number, since it is smaller than the sum of its proper divisors (5418606504).

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

2226142296 is a wasteful number, since it uses less digits than its factorization.

2226142296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 232 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2226142296 is about 47182.0124199890. The cubic root of 2226142296 is about 1305.7227581328.

The spelling of 2226142296 in words is "two billion, two hundred twenty-six million, one hundred forty-two thousand, two hundred ninety-six".