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2325135200 = 25528813299
BaseRepresentation
bin1000101010010110…
…1011111101100000
320000001011002212112
42022211223331200
514230213311300
61022415414452
7111422215553
oct21245537540
96001132775
102325135200
11a93529543
1254a824428
132b0935a5b
14180b3269a
15d91d8e35
hex8a96bf60

2325135200 has 72 divisors (see below), whose sum is σ = 5684401800. Its totient is φ = 928716800.

The previous prime is 2325135199. The next prime is 2325135229. The reversal of 2325135200 is 25315232.

2325135200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 703151 + ... + 706449.

It is an arithmetic number, because the mean of its divisors is an integer number (78950025).

Almost surely, 22325135200 is an apocalyptic number.

2325135200 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 2325135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842200900).

2325135200 is an abundant number, since it is smaller than the sum of its proper divisors (3359266600).

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

2325135200 is a wasteful number, since it uses less digits than its factorization.

2325135200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4200 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 2325135200 is about 48219.6557432755. The cubic root of 2325135200 is about 1324.7972064147.

The spelling of 2325135200 in words is "two billion, three hundred twenty-five million, one hundred thirty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 881 1762 3299 3524 4405 6598 7048 8810 13196 14096 16495 17620 22025 26392 28192 32990 35240 44050 52784 65980 70480 82475 88100 105568 131960 140960 164950 176200 263920 329900 352400 527840 659800 704800 1319600 2639200 2906419 5812838 11625676 14532095 23251352 29064190 46502704 58128380 72660475 93005408 116256760 145320950 232513520 290641900 465027040 581283800 1162567600 2325135200