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2206096992 = 253311192643
BaseRepresentation
bin1000001101111110…
…0101111001100000
312200202011100011000
42003133211321200
514004230100432
61002524152000
7105445341441
oct20337457140
95622140130
102206096992
11a32314360
12516998600
13292087848
1416cdc72c8
15cda2357c
hex837e5e60

2206096992 has 288 divisors, whose sum is σ = 7419807360. Its totient is φ = 632344320.

The previous prime is 2206096969. The next prime is 2206097017. The reversal of 2206096992 is 2996906022.

2206096992 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×22060969922 = 9733727876222896128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3430623 + ... + 3431265.

It is an arithmetic number, because the mean of its divisors is an integer number (25763220).

Almost surely, 22206096992 is an apocalyptic number.

2206096992 is a gapful number since it is divisible by the number (22) 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 2206096992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709903680).

2206096992 is an abundant number, since it is smaller than the sum of its proper divisors (5213710368).

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

2206096992 is a wasteful number, since it uses less digits than its factorization.

2206096992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 2206096992 is about 46969.1067830760. The cubic root of 2206096992 is about 1301.7918076934.

The spelling of 2206096992 in words is "two billion, two hundred six million, ninety-six thousand, nine hundred ninety-two".