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2298071300 = 225276153819
BaseRepresentation
bin1000100011111001…
…1100100100000100
312221011020010011212
42020332130210010
514201301240200
61020011350552
7110643166220
oct21076344404
95834203155
102298071300
11a7a223a88
12541752458
132a814b305
1417b2c9780
15d6b40035
hex88f9c904

2298071300 has 72 divisors (see below), whose sum is σ = 5792754240. Its totient is φ = 774979200.

The previous prime is 2298071297. The next prime is 2298071327. The reversal of 2298071300 is 31708922.

It is a super-2 number, since 2×22980713002 = 10562263399767380000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15791 + ... + 69609.

It is an arithmetic number, because the mean of its divisors is an integer number (80454920).

Almost surely, 22298071300 is an apocalyptic number.

2298071300 is a gapful number since it is divisible by the number (20) 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 2298071300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2896377120).

2298071300 is an abundant number, since it is smaller than the sum of its proper divisors (3494682940).

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

2298071300 is a wasteful number, since it uses less digits than its factorization.

2298071300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53901 (or 53894 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 2298071300 is about 47938.2029283535. The cubic root of 2298071300 is about 1319.6370482058.

The spelling of 2298071300 in words is "two billion, two hundred ninety-eight million, seventy-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 61 70 100 122 140 175 244 305 350 427 610 700 854 1220 1525 1708 2135 3050 4270 6100 8540 10675 21350 42700 53819 107638 215276 269095 376733 538190 753466 1076380 1345475 1506932 1883665 2690950 3282959 3767330 5381900 6565918 7534660 9418325 13131836 16414795 18836650 22980713 32829590 37673300 45961426 65659180 82073975 91922852 114903565 164147950 229807130 328295900 459614260 574517825 1149035650 2298071300