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225536460 = 223519375347
BaseRepresentation
bin11010111000101…
…10100111001100
3120201101102212020
431130112213030
5430214131320
634214010140
75406012462
oct1534264714
9521342766
10225536460
11106344976
1263646950
1337958736
1421d4c832
1514c00940
hexd7169cc

225536460 has 96 divisors (see below), whose sum is σ = 682832640. Its totient is φ = 55427328.

The previous prime is 225536411. The next prime is 225536471. The reversal of 225536460 is 64635522.

225536460 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, 39507 + ... + 44853.

It is an arithmetic number, because the mean of its divisors is an integer number (7112840).

Almost surely, 2225536460 is an apocalyptic number.

225536460 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 225536460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341416320).

225536460 is an abundant number, since it is smaller than the sum of its proper divisors (457296180).

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

225536460 is a wasteful number, since it uses less digits than its factorization.

225536460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5415 (or 5413 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 225536460 is about 15017.8713538238. The cubic root of 225536460 is about 608.7032022740.

The spelling of 225536460 in words is "two hundred twenty-five million, five hundred thirty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 37 38 57 60 74 76 95 111 114 148 185 190 222 228 285 370 380 444 555 570 703 740 1110 1140 1406 2109 2220 2812 3515 4218 5347 7030 8436 10545 10694 14060 16041 21090 21388 26735 32082 42180 53470 64164 80205 101593 106940 160410 197839 203186 304779 320820 395678 406372 507965 593517 609558 791356 989195 1015930 1187034 1219116 1523895 1978390 2031860 2374068 2967585 3047790 3758941 3956780 5935170 6095580 7517882 11276823 11870340 15035764 18794705 22553646 37589410 45107292 56384115 75178820 112768230 225536460