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225716040 = 233251156999
BaseRepresentation
bin11010111010000…
…10011101001000
3120201201120012100
431131002131020
5430240403130
634221513400
75410361154
oct1535023510
9521646170
10225716040
11106457890
1263712860
13379bc3b4
1421d98064
1514c38c60
hexd742748

225716040 has 96 divisors (see below), whose sum is σ = 800280000. Its totient is φ = 54718080.

The previous prime is 225716039. The next prime is 225716047. The reversal of 225716040 is 40617522.

225716040 is a `hidden beast` number, since 2 + 2 + 57 + 1 + 604 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 225715995 and 225716013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225716047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24540 + ... + 32459.

It is an arithmetic number, because the mean of its divisors is an integer number (8336250).

Almost surely, 2225716040 is an apocalyptic number.

225716040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225716040 is an abundant number, since it is smaller than the sum of its proper divisors (574563960).

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

225716040 is a wasteful number, since it uses less digits than its factorization.

225716040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57027 (or 57020 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 225716040 is about 15023.8490407751. The cubic root of 225716040 is about 608.8647163244.

The spelling of 225716040 in words is "two hundred twenty-five million, seven hundred sixteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 56999 113998 170997 227996 284995 341994 455992 512991 569990 626989 683988 854985 1025982 1139980 1253978 1367976 1709970 1880967 2051964 2279960 2507956 2564955 3134945 3419940 3761934 4103928 5015912 5129910 5642901 6269890 6839880 7523868 9404835 10259820 11285802 12539780 15047736 18809670 20519640 22571604 25079560 28214505 37619340 45143208 56429010 75238680 112858020 225716040