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225020730 = 235112321289
BaseRepresentation
bin11010110100110…
…00101100111010
3120200102020102010
431122120230322
5430101130410
634154550350
75401434054
oct1532305472
9520366363
10225020730
11106022450
12634383b6
1337807a7c
1421c568d4
1514b4cc20
hexd698b3a

225020730 has 96 divisors (see below), whose sum is σ = 616351680. Its totient is φ = 52138240.

The previous prime is 225020699. The next prime is 225020779. The reversal of 225020730 is 37020522.

It is a junction number, because it is equal to n+sod(n) for n = 225020697 and 225020706.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173926 + ... + 175214.

It is an arithmetic number, because the mean of its divisors is an integer number (6420330).

Almost surely, 2225020730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225020730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308175840).

225020730 is an abundant number, since it is smaller than the sum of its proper divisors (391330950).

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

225020730 is a wasteful number, since it uses less digits than its factorization.

225020730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 225020730 is about 15000.6909840847. The cubic root of 225020730 is about 608.2388781018.

The spelling of 225020730 in words is "two hundred twenty-five million, twenty thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 230 253 330 345 506 529 690 759 1058 1265 1289 1518 1587 2530 2578 2645 3174 3795 3867 5290 5819 6445 7590 7734 7935 11638 12890 14179 15870 17457 19335 28358 29095 29647 34914 38670 42537 58190 59294 70895 85074 87285 88941 141790 148235 174570 177882 212685 296470 326117 425370 444705 652234 681881 889410 978351 1363762 1630585 1956702 2045643 3261170 3409405 4091286 4891755 6818810 7500691 9783510 10228215 15001382 20456430 22502073 37503455 45004146 75006910 112510365 225020730