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2198930916 = 22371323293019
BaseRepresentation
bin1000001100010001…
…0000010111100100
312200020200021010210
42003010100113210
514000411242131
61002110415420
7105330414210
oct20304202744
95606607123
102198930916
11a2926a386
12514501570
13290748b70
1416c07d940
15cd0aa146
hex831105e4

2198930916 has 192 divisors, whose sum is σ = 6818918400. Its totient is φ = 535417344.

The previous prime is 2198930897. The next prime is 2198930941. The reversal of 2198930916 is 6190398912.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 726855 + ... + 729873.

It is an arithmetic number, because the mean of its divisors is an integer number (35515200).

Almost surely, 22198930916 is an apocalyptic number.

2198930916 is a gapful number since it is divisible by the number (26) 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 2198930916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409459200).

2198930916 is an abundant number, since it is smaller than the sum of its proper divisors (4619987484).

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

2198930916 is a wasteful number, since it uses less digits than its factorization.

2198930916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 48.

The square root of 2198930916 is about 46892.7597396442. The cubic root of 2198930916 is about 1300.3807397613.

The spelling of 2198930916 in words is "two billion, one hundred ninety-eight million, nine hundred thirty thousand, nine hundred sixteen".