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2099209032 = 2332107521523
BaseRepresentation
bin111110100011111…
…0110001101001000
312102022000212102200
41331013312031020
513244344142112
6544145200200
7103006660644
oct17507661510
95368025380
102099209032
11987a488a8
124a7030060
13275ba1b2b
1415cb21c24
15c445ccdc
hex7d1f6348

2099209032 has 96 divisors (see below), whose sum is σ = 5760499680. Its totient is φ = 690543360.

The previous prime is 2099209031. The next prime is 2099209033. The reversal of 2099209032 is 2309029902.

It is an interprime number because it is at equal distance from previous prime (2099209031) and next prime (2099209033).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2099209031) 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 23 ways as a sum of consecutive naturals, for example, 4013523 + ... + 4014045.

It is an arithmetic number, because the mean of its divisors is an integer number (60005205).

Almost surely, 22099209032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2099209032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880249840).

2099209032 is an abundant number, since it is smaller than the sum of its proper divisors (3661290648).

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

2099209032 is a wasteful number, since it uses less digits than its factorization.

2099209032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 2099209032 is about 45817.1259683538. The cubic root of 2099209032 is about 1280.4183674736.

The spelling of 2099209032 in words is "two billion, ninety-nine million, two hundred nine thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 521 523 642 856 963 1042 1046 1284 1563 1569 1926 2084 2092 2568 3126 3138 3852 4168 4184 4689 4707 6252 6276 7704 9378 9414 12504 12552 18756 18828 37512 37656 55747 55961 111494 111922 167241 167883 222988 223844 272483 334482 335766 445976 447688 501723 503649 544966 668964 671532 817449 1003446 1007298 1089932 1337928 1343064 1634898 2006892 2014596 2179864 2452347 3269796 4013784 4029192 4904694 6539592 9809388 19618776 29155681 58311362 87467043 116622724 174934086 233245448 262401129 349868172 524802258 699736344 1049604516 2099209032