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2221341696 = 21032724919
BaseRepresentation
bin1000010001100110…
…1111110000000000
312201210211211221200
42010121233300000
514022130413241
61004231021200
7106022043600
oct20431576000
95653754850
102221341696
11a3a986992
1251bb0a800
13295294692
14171034c00
15d00354b6
hex8466fc00

2221341696 has 198 divisors, whose sum is σ = 7462788840. Its totient is φ = 634540032.

The previous prime is 2221341691. The next prime is 2221341697. The reversal of 2221341696 is 6961431222.

It is a happy number.

2221341696 is a `hidden beast` number, since 2 + 221 + 341 + 6 + 96 = 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 2221341696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221341691) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 449125 + ... + 454043.

Almost surely, 22221341696 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 2221341696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3731394420).

2221341696 is an abundant number, since it is smaller than the sum of its proper divisors (5241447144).

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

2221341696 is a wasteful number, since it uses less digits than its factorization.

2221341696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4959 (or 4931 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2221341696 is about 47131.1117628260. Note that the first 3 decimals coincide. The cubic root of 2221341696 is about 1304.7835004391.

The spelling of 2221341696 in words is "two billion, two hundred twenty-one million, three hundred forty-one thousand, six hundred ninety-six".