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2206679040 = 2143254173
BaseRepresentation
bin1000001110000111…
…0100000000000000
312200210020220120100
42003201310000000
514004402212130
61002544442400
7105453314406
oct20341640000
95623226510
102206679040
11a32681695
12517019400
1329222c757
1416d0d9476
15cdadac60
hex83874000

2206679040 has 360 divisors, whose sum is σ = 7943507208. Its totient is φ = 566231040.

The previous prime is 2206679023. The next prime is 2206679051. The reversal of 2206679040 is 409766022.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11943936 + 2194735104 = 3456^2 + 46848^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2206678986 and 2206679004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30228444 + ... + 30228516.

Almost surely, 22206679040 is an apocalyptic number.

2206679040 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 2206679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3971753604).

2206679040 is an abundant number, since it is smaller than the sum of its proper divisors (5736828168).

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

2206679040 is an equidigital number, since it uses as much as digits as its factorization.

2206679040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2206679040 is about 46975.3024471370. The cubic root of 2206679040 is about 1301.9062841789.

The spelling of 2206679040 in words is "two billion, two hundred six million, six hundred seventy-nine thousand, forty".