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2199191904 = 253371383337
BaseRepresentation
bin1000001100010101…
…0000000101100000
312200021011112011000
42003011100011200
514000443120104
61002120152000
7105332552130
oct20305200540
95607145130
102199191904
11a29428478
12514608600
1329080a8b0
1416c10aac0
15cd10c639
hex83150160

2199191904 has 384 divisors, whose sum is σ = 8013358080. Its totient is φ = 571318272.

The previous prime is 2199191837. The next prime is 2199191909. The reversal of 2199191904 is 4091919912.

It is a self number, because there is not a number n which added to its sum of digits gives 2199191904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2199191909) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6525624 + ... + 6525960.

It is an arithmetic number, because the mean of its divisors is an integer number (20868120).

Almost surely, 22199191904 is an apocalyptic number.

2199191904 is a gapful number since it is divisible by the number (24) 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 2199191904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4006679040).

2199191904 is an abundant number, since it is smaller than the sum of its proper divisors (5814166176).

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

2199191904 is a wasteful number, since it uses less digits than its factorization.

2199191904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 45.

The square root of 2199191904 is about 46895.5424747385. The cubic root of 2199191904 is about 1300.4321845096.

The spelling of 2199191904 in words is "two billion, one hundred ninety-nine million, one hundred ninety-one thousand, nine hundred four".