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2206890972 = 2232111317151167
BaseRepresentation
bin1000001110001010…
…0111101111011100
312200210122200021200
42003202213233130
514004431002342
61002553155500
7105455156316
oct20342475734
95623580250
102206890972
11a32806940
125170bbb90
132922a5060
1416d1527b6
15cdb2d94c
hex838a7bdc

2206890972 has 288 divisors, whose sum is σ = 7027098624. Its totient is φ = 573696000.

The previous prime is 2206890949. The next prime is 2206890977. The reversal of 2206890972 is 2790986022.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2206890977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13214833 + ... + 13214999.

It is an arithmetic number, because the mean of its divisors is an integer number (24399648).

Almost surely, 22206890972 is an apocalyptic number.

2206890972 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 2206890972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513549312).

2206890972 is an abundant number, since it is smaller than the sum of its proper divisors (4820207652).

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

2206890972 is a wasteful number, since it uses less digits than its factorization.

2206890972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2206890972 is about 46977.5581740899. The cubic root of 2206890972 is about 1301.9479617051.

The spelling of 2206890972 in words is "two billion, two hundred six million, eight hundred ninety thousand, nine hundred seventy-two".