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2226341376 = 293477669
BaseRepresentation
bin1000010010110011…
…0100011000000000
312202011020212020000
42010230310120000
514024420411001
61004530120000
7106112406120
oct20454643000
95664225200
102226341376
11a42791256
12521720000
1329632527c
14171976c80
15d06c1a86
hex84b34600

2226341376 has 200 divisors, whose sum is σ = 7595324880. Its totient is φ = 636014592.

The previous prime is 2226341333. The next prime is 2226341387. The reversal of 2226341376 is 6731436222.

2226341376 is a `hidden beast` number, since 2 + 2 + 2 + 634 + 13 + 7 + 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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2226341376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 286470 + ... + 294138.

Almost surely, 22226341376 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 2226341376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3797662440).

2226341376 is an abundant number, since it is smaller than the sum of its proper divisors (5368983504).

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

2226341376 is an frugal number, since it uses more digits than its factorization.

2226341376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7706 (or 7681 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 2226341376 is about 47184.1220751218. The cubic root of 2226341376 is about 1305.7616798044.

Adding to 2226341376 its reverse (6731436222), we get a palindrome (8957777598).

The spelling of 2226341376 in words is "two billion, two hundred twenty-six million, three hundred forty-one thousand, three hundred seventy-six".