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225533580 = 223529227571
BaseRepresentation
bin11010111000101…
…01111010001100
3120201101021220120
431130111322030
5430214033310
634213544540
75406001206
oct1534257214
9521337816
10225533580
11106342798
1263645150
133795732c
1421d4b776
1514beeb70
hexd715e8c

225533580 has 96 divisors (see below), whose sum is σ = 657296640. Its totient is φ = 57711360.

The previous prime is 225533569. The next prime is 225533593. The reversal of 225533580 is 85335522.

225533580 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394695 + ... + 395265.

It is an arithmetic number, because the mean of its divisors is an integer number (6846840).

Almost surely, 2225533580 is an apocalyptic number.

225533580 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 225533580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328648320).

225533580 is an abundant number, since it is smaller than the sum of its proper divisors (431763060).

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

225533580 is a wasteful number, since it uses less digits than its factorization.

225533580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 837 counting only the distinct ones).

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

The square root of 225533580 is about 15017.7754677582. The cubic root of 225533580 is about 608.7006113068.

The spelling of 225533580 in words is "two hundred twenty-five million, five hundred thirty-three thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 227 290 348 435 454 571 580 681 870 908 1135 1142 1362 1713 1740 2270 2284 2724 2855 3405 3426 4540 5710 6583 6810 6852 8565 11420 13166 13620 16559 17130 19749 26332 32915 33118 34260 39498 49677 65830 66236 78996 82795 98745 99354 129617 131660 165590 197490 198708 248385 259234 331180 388851 394980 496770 518468 648085 777702 993540 1296170 1555404 1944255 2592340 3758893 3888510 7517786 7777020 11276679 15035572 18794465 22553358 37588930 45106716 56383395 75177860 112766790 225533580