Search a number
-
+
225563250 = 235311191439
BaseRepresentation
bin11010111000111…
…01001001110010
3120201102210121110
431130131021302
5430221011000
634214334150
75406153543
oct1534351162
9521383543
10225563250
11106363010
126365a356
13379679a3
1421d584ca
1514c08850
hexd71d272

225563250 has 128 divisors (see below), whose sum is σ = 646963200. Its totient is φ = 51768000.

The previous prime is 225563243. The next prime is 225563281. The reversal of 225563250 is 52365522.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156031 + ... + 157469.

It is an arithmetic number, because the mean of its divisors is an integer number (5054400).

Almost surely, 2225563250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225563250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323481600).

225563250 is an abundant number, since it is smaller than the sum of its proper divisors (421399950).

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

225563250 is a wasteful number, since it uses less digits than its factorization.

225563250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 225563250 is about 15018.7632646633. The cubic root of 225563250 is about 608.7273026096.

The spelling of 225563250 in words is "two hundred twenty-five million, five hundred sixty-three thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 19 22 25 30 33 38 50 55 57 66 75 95 110 114 125 150 165 190 209 250 275 285 330 375 418 475 550 570 627 750 825 950 1045 1254 1375 1425 1439 1650 2090 2375 2750 2850 2878 3135 4125 4317 4750 5225 6270 7125 7195 8250 8634 10450 14250 14390 15675 15829 21585 26125 27341 31350 31658 35975 43170 47487 52250 54682 71950 78375 79145 82023 94974 107925 136705 156750 158290 164046 179875 215850 237435 273410 300751 359750 395725 410115 474870 539625 601502 683525 791450 820230 902253 1079250 1187175 1367050 1503755 1804506 1978625 2050575 2374350 3007510 3417625 3957250 4101150 4511265 5935875 6835250 7518775 9022530 10252875 11871750 15037550 20505750 22556325 37593875 45112650 75187750 112781625 225563250