Search a number
-
+
2099230224 = 2437133137419
BaseRepresentation
bin111110100011111…
…1011011000010000
312102022001221111120
41331013323120100
513244400331344
6544145442240
7103010106510
oct17507733020
95368057446
102099230224
11987a62813
124a7040380
13275bab680
1415cb29840
15c4464219
hex7d1fb610

2099230224 has 320 divisors, whose sum is σ = 7092879360. Its totient is φ = 520058880.

The previous prime is 2099230183. The next prime is 2099230241. The reversal of 2099230224 is 4220329902.

It is a happy number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5009887 + ... + 5010305.

It is an arithmetic number, because the mean of its divisors is an integer number (22165248).

Almost surely, 22099230224 is an apocalyptic number.

2099230224 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 2099230224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3546439680).

2099230224 is an abundant number, since it is smaller than the sum of its proper divisors (4993649136).

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

2099230224 is a wasteful number, since it uses less digits than its factorization.

2099230224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 2099230224 is about 45817.3572350043. The cubic root of 2099230224 is about 1280.4226761655.

The spelling of 2099230224 in words is "two billion, ninety-nine million, two hundred thirty thousand, two hundred twenty-four".