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2199013348 = 227237943223
BaseRepresentation
bin1000001100010010…
…0100011111100100
312200020211110012211
42003010210133210
514000421411343
61002112253204
7105331206430
oct20304443744
95606743184
102199013348
11a29316304
12514541204
1329077753c
1416c0a19c0
15cd0c479d
hex831247e4

2199013348 has 48 divisors (see below), whose sum is σ = 4647444480. Its totient is φ = 890027424.

The previous prime is 2199013343. The next prime is 2199013351. The reversal of 2199013348 is 8433109912.

It is a self number, because there is not a number n which added to its sum of digits gives 2199013348.

It is not an unprimeable number, because it can be changed into a prime (2199013343) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 29265 + ... + 72487.

It is an arithmetic number, because the mean of its divisors is an integer number (96821760).

Almost surely, 22199013348 is an apocalyptic number.

2199013348 is a gapful number since it is divisible by the number (28) 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 2199013348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323722240).

2199013348 is an abundant number, since it is smaller than the sum of its proper divisors (2448431132).

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

2199013348 is a wasteful number, since it uses less digits than its factorization.

2199013348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43336 (or 43334 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 2199013348 is about 46893.6386730652. The cubic root of 2199013348 is about 1300.3969888160.

The spelling of 2199013348 in words is "two billion, one hundred ninety-nine million, thirteen thousand, three hundred forty-eight".

Divisors: 1 2 4 7 14 23 28 46 79 92 158 161 316 322 553 644 1106 1817 2212 3634 7268 12719 25438 43223 50876 86446 172892 302561 605122 994129 1210244 1988258 3414617 3976516 6829234 6958903 13658468 13917806 23902319 27835612 47804638 78536191 95609276 157072382 314144764 549753337 1099506674 2199013348