Search a number
-
+
2256560250 = 23537261403
BaseRepresentation
bin1000011010000000…
…0110000001111010
312211021010010201120
42012200012001322
514110134412000
61011525530110
7106630305600
oct20640060172
95737103646
102256560250
11a5885112a
1252b873936
1329c675a69
141759a1870
15d31906a0
hex8680607a

2256560250 has 96 divisors (see below), whose sum is σ = 6552052416. Its totient is φ = 515776800.

The previous prime is 2256560237. The next prime is 2256560309. The reversal of 2256560250 is 520656522.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6049 + ... + 67451.

It is an arithmetic number, because the mean of its divisors is an integer number (68250546).

Almost surely, 22256560250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256560250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276026208).

2256560250 is an abundant number, since it is smaller than the sum of its proper divisors (4295492166).

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

2256560250 is a wasteful number, since it uses less digits than its factorization.

2256560250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61437 (or 61420 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 2256560250 is about 47503.2656772142. The cubic root of 2256560250 is about 1311.6429960921.

The spelling of 2256560250 in words is "two billion, two hundred fifty-six million, five hundred sixty thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 125 147 150 175 210 245 250 294 350 375 490 525 735 750 875 1050 1225 1470 1750 2450 2625 3675 5250 6125 7350 12250 18375 36750 61403 122806 184209 307015 368418 429821 614030 859642 921045 1289463 1535075 1842090 2149105 2578926 3008747 3070150 4298210 4605225 6017494 6447315 7675375 9026241 9210450 10745525 12894630 15043735 15350750 18052482 21491050 23026125 30087470 32236575 45131205 46052250 53727625 64473150 75218675 90262410 107455250 150437350 161182875 225656025 322365750 376093375 451312050 752186750 1128280125 2256560250