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225728060 = 22553613491
BaseRepresentation
bin11010111010001…
…01011000111100
3120201202011200112
431131011120330
5430241244220
634222045152
75410441205
oct1535053074
9521664615
10225728060
11106465918
12637197b8
13379c49cc
1421d9c5ac
1514c3c5c5
hexd74563c

225728060 has 48 divisors (see below), whose sum is σ = 491031072. Its totient is φ = 87110400.

The previous prime is 225728053. The next prime is 225728089. The reversal of 225728060 is 60827522.

225728060 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62915 + ... + 66405.

It is an arithmetic number, because the mean of its divisors is an integer number (10229814).

Almost surely, 2225728060 is an apocalyptic number.

225728060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225728060 is an abundant number, since it is smaller than the sum of its proper divisors (265303012).

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

225728060 is a wasteful number, since it uses less digits than its factorization.

225728060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 225728060 is about 15024.2490660931. The cubic root of 225728060 is about 608.8755240395.

The spelling of 225728060 in words is "two hundred twenty-five million, seven hundred twenty-eight thousand, sixty".

Divisors: 1 2 4 5 10 20 53 61 106 122 212 244 265 305 530 610 1060 1220 3233 3491 6466 6982 12932 13964 16165 17455 32330 34910 64660 69820 185023 212951 370046 425902 740092 851804 925115 1064755 1850230 2129510 3700460 4259020 11286403 22572806 45145612 56432015 112864030 225728060