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2206674080 = 255133753541
BaseRepresentation
bin1000001110000111…
…0010110010100000
312200210020122202122
42003201302302200
514004402032310
61002544403412
7105453264062
oct20341626240
95623218678
102206674080
11a32678996
12517016568
1329222a410
1416d0d7732
15cdad9555
hex83872ca0

2206674080 has 192 divisors, whose sum is σ = 5885677728. Its totient is φ = 776355840.

The previous prime is 2206674077. The next prime is 2206674083. The reversal of 2206674080 is 804766022.

It is an interprime number because it is at equal distance from previous prime (2206674077) and next prime (2206674083).

It can be written as a sum of positive squares in 16 ways, for example, as 361456144 + 1845217936 = 19012^2 + 42956^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2206674080.

It is not an unprimeable number, because it can be changed into a prime (2206674083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4078610 + ... + 4079150.

Almost surely, 22206674080 is an apocalyptic number.

2206674080 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 2206674080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2942838864).

2206674080 is an abundant number, since it is smaller than the sum of its proper divisors (3679003648).

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

2206674080 is a wasteful number, since it uses less digits than its factorization.

2206674080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 2206674080 is about 46975.2496534079. The cubic root of 2206674080 is about 1301.9053087373.

The spelling of 2206674080 in words is "two billion, two hundred six million, six hundred seventy-four thousand, eighty".