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2325234315000 = 23354187982499
BaseRepresentation
bin100001110101100010110…
…000111110111011111000
322020021211120120220021110
4201311202300332323320
5301044034441040000
64540110425040320
7326664321366042
oct41654260767370
98207746526243
102325234315000
11817143174473
123167903260a0
1313b3653097cc
1480783130a92
1540740be5850
hex21d62c3eef8

2325234315000 has 160 divisors (see below), whose sum is σ = 7267986000000. Its totient is φ = 619724976000.

The previous prime is 2325234314929. The next prime is 2325234315083. The reversal of 2325234315000 is 5134325232.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28143751 + ... + 28226249.

It is an arithmetic number, because the mean of its divisors is an integer number (45424912500).

Almost surely, 22325234315000 is an apocalyptic number.

2325234315000 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 2325234315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633993000000).

2325234315000 is an abundant number, since it is smaller than the sum of its proper divisors (4942751685000).

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

2325234315000 is a wasteful number, since it uses less digits than its factorization.

2325234315000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84407 (or 84388 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 2325234315000 in words is "two trillion, three hundred twenty-five billion, two hundred thirty-four million, three hundred fifteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 1879 2500 3000 3750 3758 5000 5637 7500 7516 9395 11274 15000 15032 18790 22548 28185 37580 45096 46975 56370 75160 82499 93950 112740 140925 164998 187900 225480 234875 247497 281850 329996 375800 412495 469750 494994 563700 659992 704625 824990 939500 989988 1127400 1174375 1237485 1409250 1649980 1879000 1979976 2062475 2348750 2474970 2818500 3299960 3523125 4124950 4697500 4949940 5637000 6187425 7046250 8249900 9395000 9899880 10312375 12374850 14092500 16499800 20624750 24749700 28185000 30937125 41249500 49499400 51561875 61874250 82499000 103123750 123748500 154685625 155015621 206247500 247497000 309371250 310031242 412495000 465046863 618742500 620062484 775078105 930093726 1237485000 1240124968 1550156210 1860187452 2325234315 3100312420 3720374904 3875390525 4650468630 6200624840 7750781050 9300937260 11626171575 15501562100 18601874520 19376952625 23252343150 31003124200 38753905250 46504686300 58130857875 77507810500 93009372600 96884763125 116261715750 155015621000 193769526250 232523431500 290654289375 387539052500 465046863000 581308578750 775078105000 1162617157500 2325234315000