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2099000288 = 257111675101
BaseRepresentation
bin111110100011100…
…0011001111100000
312102021122021002102
41331013003033200
513244321002123
6544140505532
7103005131240
oct17507031740
95367567072
102099000288
11987915a90
124a6b4b2a8
13275b2ab08
1415caa9b20
15c441b028
hex7d1c33e0

2099000288 has 96 divisors (see below), whose sum is σ = 5183958528. Its totient is φ = 812736000.

The previous prime is 2099000279. The next prime is 2099000303. The reversal of 2099000288 is 8820009902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408938 + ... + 414038.

It is an arithmetic number, because the mean of its divisors is an integer number (53999568).

Almost surely, 22099000288 is an apocalyptic number.

2099000288 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 2099000288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591979264).

2099000288 is an abundant number, since it is smaller than the sum of its proper divisors (3084958240).

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

2099000288 is a wasteful number, since it uses less digits than its factorization.

2099000288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5296 (or 5288 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 2099000288 is about 45814.8478989072. The cubic root of 2099000288 is about 1280.3759247397.

The spelling of 2099000288 in words is "two billion, ninety-nine million, two hundred eighty-eight", and thus it is an aban number.

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 167 176 224 308 334 352 616 668 1169 1232 1336 1837 2338 2464 2672 3674 4676 5101 5344 7348 9352 10202 12859 14696 18704 20404 25718 29392 35707 37408 40808 51436 56111 58784 71414 81616 102872 112222 142828 163232 205744 224444 285656 392777 411488 448888 571312 785554 851867 897776 1142624 1571108 1703734 1795552 3142216 3407468 5963069 6284432 6814936 9370537 11926138 12568864 13629872 18741074 23852276 27259744 37482148 47704552 65593759 74964296 95409104 131187518 149928592 190818208 262375036 299857184 524750072 1049500144 2099000288