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1225107225 = 32526189261
BaseRepresentation
bin100100100000101…
…1010011100011001
310011101020220011200
41021001122130121
510002111412400
6321322144413
742234145116
oct11101323431
93141226150
101225107225
115795a5211
122a2352109
13166a75424
14b89c790d
1572849b00
hex4905a719

1225107225 has 36 divisors (see below), whose sum is σ = 2230300332. Its totient is φ = 642672000.

The previous prime is 1225107223. The next prime is 1225107253. The reversal of 1225107225 is 5227015221.

1225107225 is a `hidden beast` number, since 122 + 510 + 7 + 2 + 25 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 283046976 + 942060249 = 16824^2 + 30693^2 .

It is not a de Polignac number, because 1225107225 - 21 = 1225107223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1225107223) 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 35 ways as a sum of consecutive naturals, for example, 30906 + ... + 58355.

It is an arithmetic number, because the mean of its divisors is an integer number (61952787).

Almost surely, 21225107225 is an apocalyptic number.

1225107225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1225107225 is a deficient number, since it is larger than the sum of its proper divisors (1005193107).

1225107225 is a wasteful number, since it uses less digits than its factorization.

1225107225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89338 (or 89330 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 1225107225 is about 35001.5317521962. The cubic root of 1225107225 is about 1070.0186985407.

The spelling of 1225107225 in words is "one billion, two hundred twenty-five million, one hundred seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 61 75 183 225 305 549 915 1525 2745 4575 13725 89261 267783 446305 803349 1338915 2231525 4016745 5444921 6694575 16334763 20083725 27224605 49004289 81673815 136123025 245021445 408369075 1225107225