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225142660 = 22529388177
BaseRepresentation
bin11010110101101…
…10011110000100
3120200122102200001
431122312132010
5430114031120
634201331044
75402452411
oct1532663604
9520572601
10225142660
111060a6016
1263496a84
133784b412
1421c89108
1514b73e0a
hexd6b6784

225142660 has 24 divisors (see below), whose sum is σ = 489104280. Its totient is φ = 86951424.

The previous prime is 225142657. The next prime is 225142663. The reversal of 225142660 is 66241522.

It is an interprime number because it is at equal distance from previous prime (225142657) and next prime (225142663).

It can be written as a sum of positive squares in 4 ways, for example, as 322624 + 224820036 = 568^2 + 14994^2 .

It is not an unprimeable number, because it can be changed into a prime (225142663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193509 + ... + 194668.

It is an arithmetic number, because the mean of its divisors is an integer number (20379345).

Almost surely, 2225142660 is an apocalyptic number.

225142660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225142660 is an abundant number, since it is smaller than the sum of its proper divisors (263961620).

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

225142660 is a wasteful number, since it uses less digits than its factorization.

225142660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388215 (or 388213 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 225142660 is about 15004.7545797990. The cubic root of 225142660 is about 608.3487186117.

The spelling of 225142660 in words is "two hundred twenty-five million, one hundred forty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 388177 776354 1552708 1940885 3881770 7763540 11257133 22514266 45028532 56285665 112571330 225142660