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2305253000 = 23533174363
BaseRepresentation
bin1000100101100111…
…0101111010001000
312221122201222121202
42021121311322020
514210121044000
61020425323332
7111061220141
oct21131657210
95848658552
102305253000
11a83289776
12544036548
132a979413b
1417c238ac8
15d75acdd5
hex89675e88

2305253000 has 64 divisors (see below), whose sum is σ = 5568376320. Its totient is φ = 892344000.

The previous prime is 2305252951. The next prime is 2305253017. The reversal of 2305253000 is 3525032.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 6182 + ... + 68181.

It is an arithmetic number, because the mean of its divisors is an integer number (87005880).

Almost surely, 22305253000 is an apocalyptic number.

2305253000 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 2305253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784188160).

2305253000 is an abundant number, since it is smaller than the sum of its proper divisors (3263123320).

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

2305253000 is a wasteful number, since it uses less digits than its factorization.

2305253000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74415 (or 74401 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 2305253000 is about 48013.0503092649. The cubic root of 2305253000 is about 1321.0102841100.

Adding to 2305253000 its reverse (3525032), we get a palindrome (2308778032).

The spelling of 2305253000 in words is "two billion, three hundred five million, two hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 500 620 775 1000 1240 1550 3100 3875 6200 7750 15500 31000 74363 148726 297452 371815 594904 743630 1487260 1859075 2305253 2974520 3718150 4610506 7436300 9221012 9295375 11526265 14872600 18442024 18590750 23052530 37181500 46105060 57631325 74363000 92210120 115262650 230525300 288156625 461050600 576313250 1152626500 2305253000