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2226063840 = 25357111341113
BaseRepresentation
bin1000010010101111…
…0000100111100000
312202010201202111220
42010223300213200
514024333020330
61004520135040
7106110142020
oct20453604740
95663652456
102226063840
11a42611790
12521607480
13296258b50
14171903a80
15d0669710
hex84af09e0

2226063840 has 768 divisors, whose sum is σ = 9729828864. Its totient is φ = 412876800.

The previous prime is 2226063803. The next prime is 2226063857. The reversal of 2226063840 is 483606222.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19699624 + ... + 19699736.

It is an arithmetic number, because the mean of its divisors is an integer number (12669048).

Almost surely, 22226063840 is an apocalyptic number.

2226063840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2226063840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4864914432).

2226063840 is an abundant number, since it is smaller than the sum of its proper divisors (7503765024).

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

2226063840 is a wasteful number, since it uses less digits than its factorization.

2226063840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 2226063840 is about 47181.1809941210. The cubic root of 2226063840 is about 1305.7074187438.

The spelling of 2226063840 in words is "two billion, two hundred twenty-six million, sixty-three thousand, eight hundred forty".