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225136720 = 2459532953
BaseRepresentation
bin11010110101101…
…01000001010000
3120200122010112001
431122311001100
5430113333340
634201243344
75402426164
oct1532650120
9520563461
10225136720
111060a1606
1263493554
13378487c3
1421c86ca4
1514b7229a
hexd6b5050

225136720 has 40 divisors (see below), whose sum is σ = 524169576. Its totient is φ = 89929728.

The previous prime is 225136711. The next prime is 225136727. The reversal of 225136720 is 27631522.

It can be written as a sum of positive squares in 4 ways, for example, as 42562576 + 182574144 = 6524^2 + 13512^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225136727) 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, 74764 + ... + 77716.

Almost surely, 2225136720 is an apocalyptic number.

225136720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225136720 is an abundant number, since it is smaller than the sum of its proper divisors (299032856).

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

225136720 is a wasteful number, since it uses less digits than its factorization.

225136720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3919 (or 3913 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 225136720 is about 15004.5566412340. The cubic root of 225136720 is about 608.3433684882.

The spelling of 225136720 in words is "two hundred twenty-five million, one hundred thirty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 953 1906 2953 3812 4765 5906 7624 9530 11812 14765 15248 19060 23624 29530 38120 47248 59060 76240 118120 236240 2814209 5628418 11256836 14071045 22513672 28142090 45027344 56284180 112568360 225136720